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.

A341870 Number of partitions of n into 6 distinct and relatively prime parts.

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%I A341870 #14 Feb 23 2021 18:02:45
%S A341870 1,1,2,3,5,7,11,14,20,26,35,44,58,71,90,110,136,163,199,235,282,330,
%T A341870 391,453,532,610,709,808,931,1052,1206,1353,1540,1718,1945,2158,2432,
%U A341870 2682,3009,3305,3692,4035,4493,4891,5427,5883,6510,7033,7758,8352,9192,9862,10829,11584,12687,13539
%N A341870 Number of partitions of n into 6 distinct and relatively prime parts.
%F A341870 G.f.: Sum_{k>=1} mu(k)* x^(21*k) / Product_{j=1..6} (1 - x^(j*k)).
%t A341870 nmax = 76; CoefficientList[Series[Sum[MoebiusMu[k] x^(21 k)/Product[1 - x^(j k), {j, 1, 6}], {k, 1, nmax}], {x, 0, nmax}], x] // Drop[#, 21] &
%Y A341870 Cf. A023022, A023026, A023031, A078374, A101271, A339672, A340719, A341868, A341912, A341913, A341914.
%K A341870 nonn
%O A341870 21,3
%A A341870 _Ilya Gutkovskiy_, Feb 23 2021