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 A339169 #5 Nov 26 2020 09:16:38 %S A339169 0,0,0,0,0,0,1,0,0,0,0,0,0,2,2,2,2,2,2,2,2,8,8,14,14,20,20,26,26,32, %T A339169 56,62,86,116,140,170,218,248,296,350,518,572,764,938,1250,1448,1880, %U A339169 2198,2774,3212,3908,5210,6146,7568,9368,11750,14510,17756,21476,26402,31826,38432,45536 %N A339169 Number of compositions (ordered partitions) of n into distinct parts, the least being 6. %H A339169 <a href="/index/Com#comp">Index entries for sequences related to compositions</a> %F A339169 G.f.: Sum_{k>=1} k! * x^(k*(k + 11)/2) / Product_{j=1..k-1} (1 - x^j). %e A339169 a(21) = 8 because we have [15, 6], [8, 7, 6], [8, 6, 7], [7, 8, 6], [7, 6, 8], [6, 15], [6, 8, 7] and [6, 7, 8]. %t A339169 nmax = 62; CoefficientList[Series[Sum[k! x^(k (k + 11)/2)/Product[1 - x^j, {j, 1, k - 1}], {k, 1, nmax}], {x, 0, nmax}], x] %Y A339169 Cf. A026799, A026827, A339104, A339162, A339163, A339164, A339165, A339166, A339170, A339171, A339172. %K A339169 nonn %O A339169 0,14 %A A339169 _Ilya Gutkovskiy_, Nov 25 2020