A347654 - OEIS

%I #19 Sep 10 2021 06:03:08

%S 1,2,2574,517035762467311,

%T 11296895312655297284351876487257601933458562000884410

%N Number of partitions of 10^n into distinct odd parts.

%C The next term a(5) = 5.5425352720...*10^171 is too large to include.

%H Seiichi Manyama, <a href="/A347654/b347654.txt">Table of n, a(n) for n = 0..6</a>

%F a(n) = A000700(10^n).

%o (PARI) a(n) = polcoef(prod(k=0, 10^n\2, 1+x^(2*k+1)+x*O(x^(10^n))), 10^n);

%Y Row 10 of A347630.

%Y Cf. A000700, A011557, A069878, A070177, A347626.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Sep 10 2021