The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A293285 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A293285

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of g.f. Product_{i>0} 1/(Sum_{j=0..k} j!*x^(j*i)).
(history; published version)

#10 by Seiichi Manyama at Thu Oct 05 06:40:41 EDT 2017

STATUS

editing

proposed

#9 by Seiichi Manyama at Thu Oct 05 06:32:48 EDT 2017

CROSSREFS

Cf. A293202, A293293.

STATUS

proposed

editing

#8 by Seiichi Manyama at Wed Oct 04 23:55:15 EDT 2017

STATUS

editing

proposed

#7 by Seiichi Manyama at Wed Oct 04 23:50:23 EDT 2017

CROSSREFS

Columns k=0..1 2 give A000007, A081362, A293287.

#6 by Seiichi Manyama at Wed Oct 04 23:45:18 EDT 2017

EXAMPLE

Square array begins:

1, 1, 1, 1, 1, ...

0, -1, -1, -1, -1, ...

0, 0, -2, -2, -2, ...

0, -1, 3, -3, -3, ...

0, 1, -1, 11, -13, ...

0, -1, -5, 7, 55, ...

#5 by Seiichi Manyama at Wed Oct 04 23:42:13 EDT 2017

CROSSREFS

Columns k=0..1 give A000007, A081362.

Rows n=0..1 give A000012, (-1)*A057427.

#4 by Seiichi Manyama at Wed Oct 04 23:40:29 EDT 2017

CROSSREFS

Main diagonal gives A293251.

#3 by Seiichi Manyama at Wed Oct 04 23:39:52 EDT 2017

CROSSREFS

A293251

#2 by Seiichi Manyama at Wed Oct 04 23:35:35 EDT 2017

NAME

allocated for Seiichi ManyamaSquare array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of g.f. Product_{i>0} 1/(Sum_{j=0..k} j!*x^(j*i)).

DATA

1, 1, 0, 1, -1, 0, 1, -1, 0, 0, 1, -1, -2, -1, 0, 1, -1, -2, 3, 1, 0, 1, -1, -2, -3, -1, -1, 0, 1, -1, -2, -3, 11, -5, 1, 0, 1, -1, -2, -3, -13, 7, 9, -1, 0, 1, -1, -2, -3, -13, 55, -15, 3, 2, 0, 1, -1, -2, -3, -13, -65, 33, -63, -20, -2, 0, 1, -1, -2, -3, -13, -65

OFFSET

0,13

CROSSREFS

Cf. A293202.

KEYWORD

allocated

sign

AUTHOR

Seiichi Manyama, Oct 04 2017

STATUS

approved

editing

#1 by Seiichi Manyama at Wed Oct 04 23:35:35 EDT 2017

NAME

allocated for Seiichi Manyama

KEYWORD

allocated

STATUS

approved