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A301458 a(n) = [x^n] Product_{k>=1} 1/(1 - x^(k*(k+1)/2))^n. 0
1, 1, 3, 13, 51, 201, 825, 3431, 14355, 60493, 256463, 1092268, 4669665, 20029036, 86148373, 371434173, 1604845715, 6946936628, 30121158813, 130795358333, 568709929191, 2475778867547, 10789659781640, 47069225185789, 205524447217185, 898163031782576, 3928112419640126 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Number of partitions of n into triangular numbers of n kinds.

LINKS

Table of n, a(n) for n=0..26.

Index entries for sequences related to partitions

Index to sequences related to polygonal numbers

MATHEMATICA

Table[SeriesCoefficient[Product[1/(1 - x^(k (k + 1)/2))^n, {k, 1, n}], {x, 0, n}], {n, 0, 26}]

CROSSREFS

Cf. A000217, A000294, A007294, A008485, A298435, A298730, A300974, A301334.

Sequence in context: A016064 A163774 A304629 * A244784 A197074 A014985

Adjacent sequences:  A301455 A301456 A301457 * A301459 A301460 A301461

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Mar 21 2018

STATUS

approved

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Last modified April 19 16:18 EDT 2019. Contains 322282 sequences. (Running on oeis4.)