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 A339171 #5 Nov 26 2020 09:16:52 %S A339171 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,8,8,14,14,20, %T A339171 20,26,26,32,32,38,62,68,92,122,146,176,224,254,302,356,404,458,650, %U A339171 704,896,1094,1406,1604,2060,2378,2954,3416,4112,4694,5654,7076,8156,9842 %N A339171 Number of compositions (ordered partitions) of n into distinct parts, the least being 8. %H A339171 <a href="/index/Com#comp">Index entries for sequences related to compositions</a> %F A339171 G.f.: Sum_{k>=1} k! * x^(k*(k + 15)/2) / Product_{j=1..k-1} (1 - x^j). %e A339171 a(27) = 8 because we have [19, 8], [10, 9, 8], [10, 8, 9], [9, 10, 8], [9, 8, 10], [8, 19], [8, 10, 9] and [8, 9, 10]. %t A339171 nmax = 65; CoefficientList[Series[Sum[k! x^(k (k + 15)/2)/Product[1 - x^j, {j, 1, k - 1}], {k, 1, nmax}], {x, 0, nmax}], x] %Y A339171 Cf. A026801, A026829, A339109, A339162, A339163, A339164, A339165, A339166, A339169, A339170, A339172. %K A339171 nonn %O A339171 0,18 %A A339171 _Ilya Gutkovskiy_, Nov 25 2020