cp's OEIS Frontend

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.

A292159 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Re((k*i; x)_inf), and (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1).

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%I A292159 #16 Feb 16 2025 08:33:51
%S A292159 1,1,0,1,-1,0,1,-4,-1,0,1,-9,-4,-2,0,1,-16,-9,-8,-2,0,1,-25,-16,-18,
%T A292159 -8,-3,0,1,-36,-25,-32,-18,-12,-2,0,1,-49,-36,-50,-32,-27,4,-3,0,1,
%U A292159 -64,-49,-72,-50,-48,54,0,-2,0,1,-81,-64,-98,-72,-75,208,45,16,-2
%N A292159 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Re((k*i; x)_inf), and (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1).
%H A292159 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/q-PochhammerSymbol.html">q-Pochhammer Symbol</a>.
%e A292159 Square array begins:
%e A292159    1,  1,  1,   1,   1, ...
%e A292159    0, -1, -4,  -9, -16, ...
%e A292159    0, -1, -4,  -9, -16, ...
%e A292159    0, -2, -8, -18, -32, ...
%e A292159    0, -2, -8, -18, -32, ...
%Y A292159 Columns k=0..2 give A000007, A278399, A292135.
%Y A292159 Rows n=0..1 give A000012, (-1)*A000290.
%Y A292159 Main diagonal gives A292161.
%Y A292159 Cf. A292160.
%K A292159 sign,tabl
%O A292159 0,8
%A A292159 _Seiichi Manyama_, Sep 10 2017