A146314 Inverse of Riordan array A127543.

1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, -2, -1, 1, 1, 1, -5, -5, -2, 1, 1, 1, -9, -10, -8, -3, 1, 1, 1, -14, -14, -14, -11, -4, 1, 1, 1, -20, -14, -14, -17, -14, -5, 1, 1, 1, -27, -6, 0, -9, -19, -17, -6, 1, 1

Offset

0,12

Comments

A007318*A109466 as infinite lower triangular matrices.

Riordan array (1/(1-x), x*(1-2*x)/(1-x)^2). - Philippe Deléham, Jan 27 2014

Links

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

Formula

Number triangle T(n,k)=Sum_{j=0..n, (-1)^(n-j)*C(k,n-j)*C(n,j-k)}.

Example

Triangle begins :
1;
1, 1;
1, 1, 1;
1, 0, 1, 1;
1, -2, -1, 1, 1;
1, -5, -5, -2, 1, 1;
1, -9, -10, -8, -3, 1, 1;
1, -14, -14, -14, -11, -4, 1, 1;
1, -20, -14, -14, -17, -14, -5, 1, 1;
1, -27, -6, 0, -9, -19, -17, -6, 1, 1;...

Crossrefs

Cf. A124341

Sequence in context: A327858 A307372 A259681 * A202480 A124341 A275062

Adjacent sequences: A146311 A146312 A146313 * A146315 A146316 A146317

Keyword

easy,sign,tabl

Author

Philippe Deléham, Oct 29 2008

Status

approved