cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A341913 Number of partitions of n into 9 distinct and relatively prime parts.

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%I A341913 #5 Feb 23 2021 18:02:55
%S A341913 1,1,2,3,5,7,11,15,22,30,41,54,73,94,123,157,201,252,318,393,488,598,
%T A341913 732,887,1076,1291,1549,1845,2194,2592,3060,3589,4206,4904,5708,6615,
%U A341913 7657,8824,10156,11648,13338,15224,17354,19720,22380,25330,28629,32277,36347,40829,45812,51291,57358
%N A341913 Number of partitions of n into 9 distinct and relatively prime parts.
%F A341913 G.f.: Sum_{k>=1} mu(k)* x^(45*k) / Product_{j=1..9} (1 - x^(j*k)).
%t A341913 nmax = 97; CoefficientList[Series[Sum[MoebiusMu[k] x^(45 k)/Product[1 - x^(j k), {j, 1, 9}], {k, 1, nmax}], {x, 0, nmax}], x] // Drop[#, 45] &
%Y A341913 Cf. A023022, A023029, A023034, A078374, A101271, A339672, A340719, A341868, A341870, A341912, A341914.
%K A341913 nonn
%O A341913 45,3
%A A341913 _Ilya Gutkovskiy_, Feb 23 2021