# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a341868 Showing 1-1 of 1 %I A341868 #29 Feb 23 2021 18:02:40 %S A341868 1,1,2,3,5,6,9,11,15,18,22,27,33,39,45,54,61,72,79,94,101,120,127,149, %T A341868 158,185,189,225,231,267,274,321,319,378,377,435,439,511,495,588,577, %U A341868 661,656,764,729,863,836,954,939,1089,1022,1215,1165,1323,1289,1492,1392,1650,1566,1776,1715 %N A341868 Number of partitions of n into 4 distinct and relatively prime parts. %F A341868 G.f.: Sum_{k>=1} mu(k)* x^(10*k) / Product_{j=1..4} (1 - x^(j*k)). %t A341868 nmax = 70; CoefficientList[Series[Sum[MoebiusMu[k] x^(10 k)/Product[1 - x^(j k), {j, 1, 4}], {k, 1, nmax}], {x, 0, nmax}], x] // Drop[#, 10] & %Y A341868 Cf. A000742, A023022, A023024, A078374, A101271, A339672, A340719, A341870, A341912, A341913, A341914. %K A341868 nonn %O A341868 10,3 %A A341868 _Ilya Gutkovskiy_, Feb 23 2021 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE