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A106270 Inverse of number triangle A106268. 5
1, -1, 1, -2, -1, 1, -5, -2, -1, 1, -14, -5, -2, -1, 1, -42, -14, -5, -2, -1, 1, -132, -42, -14, -5, -2, -1, 1, -429, -132, -42, -14, -5, -2, -1, 1, -1430, -429, -132, -42, -14, -5, -2, -1, 1, -4862, -1430, -429, -132, -42, -14, -5, -2, -1, 1, -16796, -4862, -1430, -429, -132, -42, -14, -5, -2, -1, 1, -58786, -16796 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Sequence array for the sequence a(n)=2*0^n-C(n). Row sums are A106271. Diagonal sums are A106272.

LINKS

Table of n, a(n) for n=0..67.

FORMULA

Number triangle T(n, k)=if(k<=n, 2*0^(n-k)-C(n-k), 0); Riordan array (2sqrt(1-4x)/(1+sqrt(1-4x)), x)=(c(x)sqrt(1-4x), x), c(x) the g.f. of A000108.

EXAMPLE

Triangle begins

1;

-1,1;

-2,-1,1;

-5,-2,-1,1;

-14,-5,-2,-1,1;

CROSSREFS

Sequence in context: A174004 A128604 A098885 * A319171 A047888 A128704

Adjacent sequences:  A106267 A106268 A106269 * A106271 A106272 A106273

KEYWORD

easy,sign,tabl

AUTHOR

Paul Barry, Apr 28 2005

STATUS

approved

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Last modified October 19 00:36 EDT 2018. Contains 316327 sequences. (Running on oeis4.)