Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #8 Nov 07 2018 21:44:57
%S 1,5,10,10,5,26,125,250,250,125,325,1500,3000,3000,1500,2600,11500,
%T 23000,23000,11500,14950,63250,126500,126500,63250,65905,266275,
%U 532550,532550,266275,233480,901125,1802250,1802250,901125,698425,2591000,5182000,5182000,2591000
%N Expansion of Product_{k>=0} (1 + x^(5^k))^(5^(k+1)).
%C Also the coefficient of x^(5*n) in the expansion of Product_{k>=0} (1 + x^(5^k))^(5^k).
%e Product_{k>=0} (1 + x^(5^k))^(5^k) = 1 + x + 5*x^5 + 5*x^6 + 10*x^10 + 10*x^11 + 10*x^15 + 10*x^16 + 5*x^20 + 5*x^21 + 26*x^25 + 26*x^26 + ... .
%Y Cf. A073708, A321354, A321355.
%K nonn
%O 0,2
%A _Seiichi Manyama_, Nov 07 2018