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).

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, -8, -3, 0, 1, -36, -25, -32, -18, -12, -2, 0, 1, -49, -36, -50, -32, -27, 4, -3, 0, 1, -64, -49, -72, -50, -48, 54, 0, -2, 0, 1, -81, -64, -98, -72, -75, 208, 45, 16, -2

Offset

0,8

Links

Table of n, a(n) for n=0..64.

Eric Weisstein's World of Mathematics, q-Pochhammer Symbol.

Example

Square array begins:
   1,  1,  1,   1,   1, ...
   0, -1, -4,  -9, -16, ...
   0, -1, -4,  -9, -16, ...
   0, -2, -8, -18, -32, ...
   0, -2, -8, -18, -32, ...

Crossrefs

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

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

Main diagonal gives A292161.

Cf. A292160.

Sequence in context: A073027 A370073 A278986 * A099793 A273895 A363044

Adjacent sequences: A292156 A292157 A292158 * A292160 A292161 A292162

Keyword

sign,tabl

Author

Seiichi Manyama, Sep 10 2017

Status

approved