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 A292160 #23 Feb 16 2025 08:33:51 %S A292160 0,-1,0,-2,-1,0,-3,-2,-1,0,-4,-3,-2,0,0,-5,-4,-3,6,0,0,-6,-5,-4,24,6, %T A292160 1,0,-7,-6,-5,60,24,14,2,0,-8,-7,-6,120,60,51,22,3,0,-9,-8,-7,210,120, %U A292160 124,78,30,4,0,-10,-9,-8,336,210,245,188,105,38,6,0,-11,-10 %N A292160 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Im((k*i; x)_inf), and (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1). %H A292160 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/q-PochhammerSymbol.html">q-Pochhammer Symbol</a>. %e A292160 Square array begins: %e A292160 0, -1, -2, -3, -4, ... %e A292160 0, -1, -2, -3, -4, ... %e A292160 0, -1, -2, -3, -4, ... %e A292160 0, 0, 6, 24, 60, ... %e A292160 0, 0, 6, 24, 60, ... %Y A292160 Columns k=0..2 give A000004, A278400, A292140. %Y A292160 Rows 0+2 give (-1)*A001477. %Y A292160 Main diagonal gives A292162. %Y A292160 Cf. A292159. %K A292160 sign,tabl %O A292160 0,4 %A A292160 _Seiichi Manyama_, Sep 10 2017