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 A317552 #12 Sep 16 2018 21:35:19 %S A317552 1,0,2,1,0,4,0,2,1,0,10,1,0,0,2,2,0,26,0,0,1,4,0,0,0,4,4,0,76,1,0,0,0, %T A317552 0,2,2,4,0,0,0,8,10,0,232,0,1,0,4,0,1,0,0,0,0,12,0,4,2,8,0,0,0,20,26, %U A317552 0,764,1,0,0,0,2,0,0,4,2,0,0,1,10,0,0,0,0 %N A317552 Irregular triangle where T(n,k) is the sum of coefficients in the expansion of p(y) in terms of Schur functions, where p is power-sum symmetric functions and y is the integer partition with Heinz number A215366(n,k). %C A317552 Is this sequence nonnegative? If so, is there a combinatorial interpretation? %e A317552 Triangle begins: %e A317552 1 %e A317552 0 2 %e A317552 1 0 4 %e A317552 0 2 1 0 10 %e A317552 1 0 0 2 2 0 26 %e A317552 0 0 1 4 0 0 0 4 4 0 76 %e A317552 1 0 0 0 0 2 2 4 0 0 0 8 10 0 232 %e A317552 A215366(6,4) = 25 corresponds to the partition (33). Since p(33) = s(6) + 2 s(33) - s(51) + 2 s(222) - 2 s(321) + s(411) + s(3111) - s(21111) + s(111111) has sum of coefficients 1 + 2 - 1 + 2 - 2 + 1 + 1 - 1 + 1 = 4, we conclude T(6,4) = 4. %Y A317552 Last column is A000085. Row sums are A082733. %Y A317552 Cf. A056239, A093641, A153452, A153734, A215366, A296188, A296561, A299699, A305940, A317554. %K A317552 nonn,tabf %O A317552 1,3 %A A317552 _Gus Wiseman_, Sep 14 2018