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A212248 Triangle by rows relating to the Rao Uppulari-Carpenter sequence A000587. 0
1, -1, 1, 0, -1, 0, 1, -1, 0, -1, 1, 1, 0, 1, -1, -2, 5, 0, 3, 1, 2, -9, 5, 0, 2, 4, -2, 9, -9, -21, 0, -15, 5, -10, -9, 9, 50, -105, 0, -62, -19, -18, -54, -9, -50, 267, -141, 0, -56, -119, 42, -126, -63, 50, -267 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,16

COMMENTS

Left border = A000587. Right border and row sums are variants by shifting and/or sign changes of A000587.

LINKS

Table of n, a(n) for n=0..54.

FORMULA

Triangle A213953 as an infinite lower triangular matrix * triangle A. Triangle A is composed of a diagonalized variant of the Rao Uppuluri-Carpenter sequence: (1, 1, 0, -1, -1, 2, 9, 9, -50, -267,...) as the main diagonal and the rest zeros.

EXAMPLE

First few rows of the triangle are:

1;

-1, 1;

0, -1, 0;

1, -1, 0, -1;

1, 1, 0, 1, -1;

-2, 5, 0, 3, 1, 2;

-9, 5, 0, 2, 4, -2, 9;

-9, -21, 0, -15, 5, -10, -9, 9

50, -105, 0, -62, -19, -18, -54, -9, -50;

267, -141, -301, -56, -119, 42, -126, -63, 50, -267;

413, 777, 0, 566, -226, 396, 180, -180, 400, 267, -413;

...

CROSSREFS

Cf. A000587.

Sequence in context: A006891 A054675 A136209 * A208476 A247449 A112695

Adjacent sequences:  A212245 A212246 A212247 * A212249 A212250 A212251

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson, Jun 27 2012

STATUS

approved

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Last modified November 15 18:29 EST 2019. Contains 329149 sequences. (Running on oeis4.)