Samsara\Fermat\Core\Provider > SequenceProvider
No description available
Variables & Data
Class Constants
SequenceProvider::EULER_ZIGZAG
EULER_ZIGZAG
- value
- array (0 => '1',1 => '1',2 => '1',3 => '2',4 => '5',5 => '16',6 => '61',7 => '272',8 => '1385',9 => '7936',10 => '50521',11 => '353792',12 => '2702765',13 => '22368256',14 => '199360981',15 => '1903757312',16 => '19391512145',17 => '209865342976',18 => '2404879675441',19 => '29088885112832',20 => '370371188237525',21 => '4951498053124096',22 => '69348874393137901',23 => '1015423886506852352',24 => '15514534163557086905',25 => '246921480190207983616',26 => '4087072509293123892361',27 => '70251601603943959887872',28 => '1252259641403629865468285',29 => '23119184187809597841473536',30 => '441543893249023104553682821',31 => '8713962757125169296170811392',32 => '177519391579539289436664789665',33 => '3729407703720529571097509625856',34 => '80723299235887898062168247453281',35 => '1798651693450888780071750349094912',36 => '41222060339517702122347079671259045',37 => '970982810785059112379399707952152576',38 => '23489580527043108252017828576198947741',39 => '583203324917310043943191641625494290432',40 => '14851150718114980017877156781405826684425',41 => '387635983772083031828014624002175135645696',42 => '10364622733519612119397957304745185976310201',43 => '283727921907431909304183316295787837183229952',44 => '7947579422597592703608040510088070619519273805',45 => '227681379129930886488600284336316164603920777216',46 => '6667537516685544977435028474773748197524107684661',47 => '199500252157859031027160499643195658166340757225472',48 => '6096278645568542158691685742876843153976539044435185',49 => '190169564657928428175235445073924928592047775873499136',50 => '6053285248188621896314383785111649088103498225146815121',)
Methods
Static Methods
public SequenceProvider::nextPrimeNumber(Samsara\Fermat\Core\Values\ImmutableDecimal $number)
nextPrimeNumber
$number
- type
- Samsara\Fermat\Core\Values\ImmutableDecimal
- description
- No description available
return
- type
- Samsara\Fermat\Core\Values\ImmutableDecimal
- description
- No description available
public SequenceProvider::nthBernoulliNumber(int $n, int|null $scale)
nthBernoulliNumber
$n
- type
- int
- description
- No description available
$scale
- type
- int|null
- description
return
- type
- Samsara\Fermat\Core\Values\ImmutableDecimal
- description
- No description available
nthBernoulliNumber() Description:
Returns the nth Bernoulli Number, where odd indexes return zero, and B1() is -1/2.
This function gets very slow if you demand large precision.
public SequenceProvider::nthEulerZigzag(int $n, bool $asCollection, int $collectionSize)
nthEulerZigzag
$n
- type
- int
- description
- No description available
$asCollection
- type
- bool
- description
- No description available
$collectionSize
- type
- int
- description
return
- type
- Samsara\Fermat\Core\Values\ImmutableDecimal|Samsara\Fermat\Core\Types\NumberCollection
- description
- No description available
nthEulerZigzag() Description:
OEIS: A000111
public SequenceProvider::nthEvenNumber(int $n, int|null $scale, bool $asCollection, int $collectionSize)
nthEvenNumber
$n
- type
- int
- description
- No description available
$scale
- type
- int|null
- description
- No description available
$asCollection
- type
- bool
- description
- No description available
$collectionSize
- type
- int
- description
return
- type
- Samsara\Fermat\Core\Values\ImmutableDecimal|Samsara\Fermat\Core\Types\NumberCollection
- description
- No description available
nthEvenNumber() Description:
OEIS: A005843
public SequenceProvider::nthFibonacciNumber(int $n, bool $asCollection, int $collectionSize)
nthFibonacciNumber
$n
- type
- int
- description
- No description available
$asCollection
- type
- bool
- description
- No description available
$collectionSize
- type
- int
- description
return
- type
- Samsara\Fermat\Core\Values\ImmutableDecimal|Samsara\Fermat\Core\Types\NumberCollection
- description
- No description available
nthFibonacciNumber() Description:
OEIS: A000045
This uses an implementation of the fast-doubling Karatsuba multiplication algorithm as described by 'Nayuki':
https://www.nayuki.io/page/fast-fibonacci-algorithms
public SequenceProvider::nthFibonacciPair(int $n)
nthFibonacciPair
$n
- type
- int
- description
return
- type
- array
- description
- No description available
nthFibonacciPair() Description:
OEIS: A000045
This uses an implementation of the fast-doubling Karatsuba multiplication algorithm as described by 'Nayuki':
https://www.nayuki.io/page/fast-fibonacci-algorithms
public SequenceProvider::nthHarmonicNumber(Samsara\Fermat\Core\Values\ImmutableDecimal $n, ?int $scale)
nthHarmonicNumber
$n
- type
- Samsara\Fermat\Core\Values\ImmutableDecimal
- description
- No description available
$scale
- type
- ?int
- description
- No description available
return
- type
- Samsara\Fermat\Core\Values\ImmutableDecimal
- description
- No description available
public SequenceProvider::nthLucasNumber(int $n)
nthLucasNumber
$n
- type
- int
- description
return
- type
- Samsara\Fermat\Core\Values\ImmutableDecimal
- description
- No description available
nthLucasNumber() Description:
OEIS: A000032
public SequenceProvider::nthOddNumber(int $n, int|null $scale, bool $asCollection, int $collectionSize)
nthOddNumber
$n
- type
- int
- description
- No description available
$scale
- type
- int|null
- description
- No description available
$asCollection
- type
- bool
- description
- No description available
$collectionSize
- type
- int
- description
return
- type
- Samsara\Fermat\Core\Values\ImmutableDecimal|Samsara\Fermat\Core\Types\NumberCollection
- description
- No description available
nthOddNumber() Description:
OEIS: A005408
public SequenceProvider::nthPowerNegativeOne(int $n, bool $asCollection, int $collectionSize)
nthPowerNegativeOne
$n
- type
- int
- description
- No description available
$asCollection
- type
- bool
- description
- No description available
$collectionSize
- type
- int
- description
return
- type
- Samsara\Fermat\Core\Values\ImmutableDecimal|Samsara\Fermat\Core\Types\NumberCollection
- description
- No description available
nthPowerNegativeOne() Description:
OEIS: A033999
public SequenceProvider::nthPrimeNumbers(int $n)
nthPrimeNumbers
$n
- type
- int
- description
return
- type
- Samsara\Fermat\Core\Types\NumberCollection
- description
- No description available
public SequenceProvider::nthTriangularNumber(int $n)
nthTriangularNumber
$n
- type
- int
- description
return
- type
- Samsara\Fermat\Core\Values\ImmutableDecimal
- description
- No description available
nthTriangularNumber() Description:
OEIS: A000217