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 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). 3

%I

%S 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 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 124,78,30,4,0,-10,-9,-8,336,210,245,188,105,38,6,0,-11,-10

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

%e Square array begins:

%e 0, -1, -2, -3, -4, ...

%e 0, -1, -2, -3, -4, ...

%e 0, -1, -2, -3, -4, ...

%e 0, 0, 6, 24, 60, ...

%e 0, 0, 6, 24, 60, ...

%Y Columns k=0..2 give A000004, A278400, A292140.

%Y Rows 0+2 give (-1)*A001477.

%Y Main diagonal gives A292162.

%Y Cf. A292159.

%K sign,tabl

%O 0,4

%A _Seiichi Manyama_, Sep 10 2017

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Last modified October 1 13:04 EDT 2020. Contains 337443 sequences. (Running on oeis4.)