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A133088 A007318^(-1) * A133080. 0
1, 0, 1, -1, -2, 1, 2, 3, -2, 1, -3, -4, 2, -4, 1, 4, 5, 0, 10, -4, 1, -5, -6, -5, -20, 9, -6, 1, 6, 7, 14, 35, -14, 21, -6, 1, -7, -8, -28, -56, 14, -56, 20, -8, 1, 8, 9, 48, 84, 0, 126, -48, 36, -8, 1, -9, -10, -75, -120, -42, -252, 90, -120, 35, -10, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums = (1, 1, -2, 4, -8, 16, -32, 64,...)

LINKS

Table of n, a(n) for n=0..65.

FORMULA

Inverse binomial transform of A133080

EXAMPLE

First few rows of the triangle are:

1;

0, 1;

-1, -2, 1;

2, 3, -2, 1;

-3, -4, 2, -4, 1;

4, 5, 0, 10, -4, 1;

-5, -6, -5, -20, 9, -6, 1;

...

PROG

(PARI) tabl(nn) = {t007318 = matrix(nn, nn, n, k, binomial(n-1, k-1)); t133080 = matrix(nn, nn, n, k, if (k==n, 1, if (k == (n-1), 1 - (n % 2), 0))); t133088 = t007318^(-1)*t133080; for (n = 1, nn, for (k = 1, n, print1(t133088[n, k], ", "); ); print(); ); } \\ Michel Marcus, Feb 13 2014

CROSSREFS

Cf. A133080, A007318.

Sequence in context: A002850 A111944 A109814 * A059982 A187801 A134388

Adjacent sequences:  A133085 A133086 A133087 * A133089 A133090 A133091

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson, Sep 08 2007

EXTENSIONS

Typo corrected by Travis Hoppe, Apr 24 2008

One term sign corrected by Michel Marcus, Feb 13 2014

STATUS

approved

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Last modified May 9 03:59 EDT 2021. Contains 343685 sequences. (Running on oeis4.)