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 A298730 Expansion of Product_{k>=1} 1/(1 - x^(k*(k+1)/2))^(k*(k+1)/2). 2
 1, 1, 1, 4, 4, 4, 16, 16, 16, 44, 54, 54, 126, 156, 156, 315, 435, 435, 780, 1060, 1115, 1856, 2576, 2741, 4214, 5804, 6464, 9446, 12924, 14464, 20324, 27818, 31778, 43166, 58232, 66977, 89396, 120000, 139255, 181274, 240405, 282000, 362457, 476334, 560709, 708893, 924923, 1096773, 1372597 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Table of n, a(n) for n=0..48. FORMULA G.f.: Product_{k>=1} 1/(1 - x^A000217(k))^A000217(k). MATHEMATICA nmax = 48; CoefficientList[Series[Product[1/(1 - x^(k (k + 1)/2))^(k (k + 1)/2), {k, 1, nmax}], {x, 0, nmax}], x] CROSSREFS Cf. A000217, A000294, A007294, A291655, A298850. Sequence in context: A223824 A218056 A218651 * A218181 A231586 A231700 Adjacent sequences: A298727 A298728 A298729 * A298731 A298732 A298733 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Mar 09 2018 STATUS approved

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Last modified October 3 22:24 EDT 2023. Contains 365872 sequences. (Running on oeis4.)