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.
%I A339087 #5 Nov 23 2020 17:08:46
%S A339087 1,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,2,1,0,0,0,4,1,0,0,6,4,1,0,0,6,6,
%T A339087 1,0,0,12,6,1,0,0,18,8,1,0,24,24,8,1,0,24,30,10,1,0,48,42,10,1,0,72,
%U A339087 48,12,1,0,120,60,12,1,120,144,72,14,1,120,216,84,14,1,240
%N A339087 Number of compositions (ordered partitions) of n into distinct parts congruent to 4 mod 5.
%H A339087 <a href="/index/Com#comp">Index entries for sequences related to compositions</a>
%F A339087 G.f.: Sum_{k>=0} k! * x^(k*(5*k + 3)/2) / Product_{j=1..k} (1 - x^(5*j)).
%e A339087 a(27) = 6 because we have [14, 9, 4], [14, 4, 9], [9, 14, 4], [9, 4, 14], [4, 14, 9] and [4, 9, 14].
%t A339087 nmax = 80; CoefficientList[Series[Sum[k! x^(k (5 k + 3)/2)/Product[1 - x^(5 j), {j, 1, k}], {k, 0, nmax}], {x, 0, nmax}], x]
%Y A339087 Cf. A016897, A017827, A032020, A032021, A109700, A281243, A337547, A337548, A339059, A339060, A339086, A339088, A339089.
%K A339087 nonn
%O A339087 0,14
%A A339087 _Ilya Gutkovskiy_, Nov 23 2020