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).

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, 1, 0, -7, -6, -5, 60, 24, 14, 2, 0, -8, -7, -6, 120, 60, 51, 22, 3, 0, -9, -8, -7, 210, 120, 124, 78, 30, 4, 0, -10, -9, -8, 336, 210, 245, 188, 105, 38, 6, 0, -11, -10

Offset

0,4

Links

Table of n, a(n) for n=0..67.

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

Example

Square array begins:
   0, -1, -2, -3, -4, ...
   0, -1, -2, -3, -4, ...
   0, -1, -2, -3, -4, ...
   0,  0,  6, 24, 60, ...
   0,  0,  6, 24, 60, ...

Crossrefs

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

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

Main diagonal gives A292162.

Cf. A292159.

Sequence in context: A190693 A257571 A219649 * A025581 A025669 A025676

Adjacent sequences: A292157 A292158 A292159 * A292161 A292162 A292163

Keyword

sign,tabl

Author

Seiichi Manyama, Sep 10 2017

Status

approved