cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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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).

Original entry on oeis.org

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

Views

Author

Seiichi Manyama, Sep 10 2017

Keywords

Examples

			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.

A292161 Main diagonal of A292159.

Original entry on oeis.org

1, -1, -4, -18, -32, -75, 1188, 2205, 7936, 19278, 49500, 87120, 185760, 312988, 574868, -10481175, -15271936, -46022672, -98470404, -230150496, -440484000, -932930208, -1572331596, -2940575576, -4940815104, -8508211250, -13542949524, -22406625648
Offset: 0

Views

Author

Seiichi Manyama, Sep 10 2017

Keywords

Crossrefs

Formula

a(n) + i*A292162(n) = [x^n] Product_{k>=0} (1 - n*i*x^k), where i is sqrt(-1).
Showing 1-2 of 2 results.