A141343 - OEIS

A141343

Riordan array (1,x/sqrt(2-sqrt(1+4x))).

1, 0, 1, 0, 2, 1, 0, 2, 4, 1, 0, 4, 8, 6, 1, 0, 2, 16, 18, 8, 1, 0, 12, 24, 44, 32, 10, 1, 0, -12, 48, 90, 96, 50, 12, 1, 0, 72, 48, 180, 240, 180, 72, 14, 1, 0, -190, 160, 308, 544, 530, 304, 98, 16, 1, 0, 700, -40, 600, 1120, 1372, 1032, 476, 128

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OFFSET

0,5

COMMENTS

Factorizes as (1,xc(-x))*(1,x(1+x)/(1-2x)) where c(x) is the g.f. of A000108.

Row sums are A141344.

Triangle T(n,k), 0<=k<=n, read by rows, given by [0, 2, -1, -1, -1, -1, -1, -1, -1, ...] DELTA [1, 0, 0, 0, 0, 0, 0, ...] where DELTA is the operator defined in A084938. - Philippe Deléham, Nov 15 2008

LINKS

Table of n, a(n) for n=0..63.

EXAMPLE

Triangle begins

0, 1,

0, 2, 1,

0, 2, 4, 1,

0, 4, 8, 6, 1,

0, 2, 16, 18, 8, 1,

0, 12, 24, 44, 32, 10, 1,

0, -12, 48, 90, 96, 50, 12, 1

CROSSREFS