

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 qPochhammer symbol, i = sqrt(1).


3



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
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OFFSET

0,4


LINKS

Table of n, a(n) for n=0..67.
Eric Weisstein's World of Mathematics, qPochhammer 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



