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 A339172 #4 Nov 26 2020 09:16:59 %S A339172 0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,8,8,14, %T A339172 14,20,20,26,26,32,32,38,38,68,68,98,122,152,176,230,254,308,356,410, %U A339172 458,536,704,782,974,1172,1484,1706,2138,2480,3056,3518,4214,4820,5756 %N A339172 Number of compositions (ordered partitions) of n into distinct parts, the least being 9. %H A339172 <a href="/index/Com#comp">Index entries for sequences related to compositions</a> %F A339172 G.f.: Sum_{k>=1} k! * x^(k*(k + 17)/2) / Product_{j=1..k-1} (1 - x^j). %e A339172 a(30) = 8 because we have [21, 9], [11, 10, 9], [11, 9, 10], [10, 11, 9], [10, 9, 11], [9, 21], [9, 11, 10] and [9, 10, 11]. %t A339172 nmax = 67; CoefficientList[Series[Sum[k! x^(k (k + 17)/2)/Product[1 - x^j, {j, 1, k - 1}], {k, 1, nmax}], {x, 0, nmax}], x] %Y A339172 Cf. A026802, A026830, A339110, A339162, A339163, A339164, A339165, A339166, A339169, A339170, A339171. %K A339172 nonn %O A339172 0,20 %A A339172 _Ilya Gutkovskiy_, Nov 25 2020