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A279759 Expansion of Product_{k>=1} 1/(1 - x^(k*(3*k-1)*(3*k-2)/2)). 2
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,21
COMMENTS
Number of partitions of n into nonzero dodecahedral numbers (A006566).
LINKS
M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to arXiv version]
M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]
OEIS Wiki, Platonic numbers
FORMULA
G.f.: Product_{k>=1} 1/(1 - x^(k*(3*k-1)*(3*k-2)/2)).
EXAMPLE
a(21) = 2 because we have [20, 1] and [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1].
MATHEMATICA
nmax=120; CoefficientList[Series[Product[1/(1 - x^(k (3 k - 1) (3 k - 2)/2)), {k, 1, nmax}], {x, 0, nmax}], x]
CROSSREFS
Sequence in context: A037203 A032556 A110592 * A185714 A168353 A053230
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Dec 18 2016
STATUS
approved

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Last modified February 20 18:38 EST 2024. Contains 370217 sequences. (Running on oeis4.)