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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). 3

%I

%S 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 -8,-3,0,1,-36,-25,-32,-18,-12,-2,0,1,-49,-36,-50,-32,-27,4,-3,0,1,

%U -64,-49,-72,-50,-48,54,0,-2,0,1,-81,-64,-98,-72,-75,208,45,16,-2

%N 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 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/q-PochhammerSymbol.html">q-Pochhammer Symbol</a>.

%e Square array begins:

%e 1, 1, 1, 1, 1, ...

%e 0, -1, -4, -9, -16, ...

%e 0, -1, -4, -9, -16, ...

%e 0, -2, -8, -18, -32, ...

%e 0, -2, -8, -18, -32, ...

%Y Columns k=0..2 give A000007, A278399, A292135.

%Y Rows n=0..1 give A000012, (-1)*A000290.

%Y Main diagonal gives A292161.

%Y Cf. A292160.

%K sign,tabl

%O 0,8

%A _Seiichi Manyama_, Sep 10 2017

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Last modified July 30 23:12 EDT 2021. Contains 346365 sequences. (Running on oeis4.)