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A298850 Expansion of Product_{k>=1} (1 + x^(k*(k+1)/2))^(k*(k+1)/2). 1

%I #20 Mar 09 2018 21:15:34

%S 1,1,0,3,3,0,9,9,0,19,29,10,33,63,30,66,156,90,110,300,235,276,561,

%T 465,558,1083,1065,1154,1877,1983,2295,3834,3879,3861,6858,7452,7561,

%U 12613,13252,13057,22161,25569,24582,35985,44193,44970,63495,79105,77143,104046,134820,138759,182511,222600

%N Expansion of Product_{k>=1} (1 + x^(k*(k+1)/2))^(k*(k+1)/2).

%F G.f.: Product_{k>=1} (1 + x^A000217(k))^A000217(k).

%t nmax = 53; CoefficientList[Series[Product[(1 + x^(k (k + 1)/2))^(k (k + 1)/2), {k, 1, nmax}], {x, 0, nmax}], x]

%Y Cf. A000217, A024940, A027999, A028377, A291649, A298730.

%K nonn

%O 0,4

%A _Ilya Gutkovskiy_, Mar 09 2018

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Last modified August 24 18:26 EDT 2024. Contains 375417 sequences. (Running on oeis4.)