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 A122596 #13 Apr 25 2024 16:21:34
%S A122596 1,2,5,18,85,492,3360,26400,234356,2318280,25278120,301143360,
%T A122596 3891041400,54191780160,809233528320,12897125337600,218497018912704,
%U A122596 3920950622655360,74295176671900800,1482268147441804800
%N A122596 Antidiagonal sums of the row-reversed triangle A048998 of Bernoulli polynomial coefficients.
%C A122596 A048998 with all rows reversed is
%C A122596 1
%C A122596 2.....-1
%C A122596 6.....-6...1
%C A122596 24...-36..12.0
%C A122596 120.-240.120.0.-4
%C A122596 The signed antidiagonal sums are sum_{m=0..n/2}(-1)^m*A048998(n-m,n-2m) = 1, 2, 7, 30, 157, 972, 6960, 56640, 516596,...
%C A122596 The antidiagonal sums of A048998 in its original order are 1, -1, 3, -6, 14, -36, 144, -240, -6576, -1800, 2143560, -15120,...
%F A122596 a(n) = Sum_{m=0..n/2} A048998(n-m,n-2m). - _R. J. Mathar_, Jul 12 2008
%e A122596 a(3)=24-6=18. a(4)=120-36+1=85.
%Y A122596 Cf. A048998.
%K A122596 nonn
%O A122596 0,2
%A A122596 _Paul Curtz_, Jun 07 2007
%E A122596 Partially edited and extended by _R. J. Mathar_, Jul 12 2008