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 A339060 #6 Nov 23 2020 08:26:01
%S A339060 1,0,0,1,0,0,0,1,0,0,2,1,0,0,2,1,0,0,4,1,0,6,4,1,0,6,6,1,0,12,6,1,0,
%T A339060 18,8,1,24,24,8,1,24,30,10,1,48,42,10,1,72,48,12,1,120,60,12,121,144,
%U A339060 72,14,121,216,84,14,241,264,96,16,361,360,114,16,601,432,126,18,841
%N A339060 Number of compositions (ordered partitions) of n into distinct parts congruent to 3 mod 4.
%H A339060 <a href="/index/Com#comp">Index entries for sequences related to compositions</a>
%F A339060 G.f.: Sum_{k>=0} k! * x^(k*(2*k + 1)) / Product_{j=1..k} (1 - x^(4*j)).
%e A339060 a(21) = 6 because we have [11, 7, 3], [11, 3, 7], [7, 11, 3], [7, 3, 11], [3, 11, 7] and [3, 7, 11].
%t A339060 nmax = 75; CoefficientList[Series[Sum[k! x^(k (2 k + 1))/Product[1 - x^(4 j), {j, 1, k}], {k, 0, nmax}], {x, 0, nmax}], x]
%Y A339060 Cf. A004767, A017817, A032020, A032021, A035462, A147599, A337547, A337548, A339059.
%K A339060 nonn
%O A339060 0,11
%A A339060 _Ilya Gutkovskiy_, Nov 22 2020