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A113955 Riordan array (1/((1-4x)c(x)),xc(x)/sqrt(1-4x)), c(x) the g.f. of A000108. 2
1, 3, 1, 11, 6, 1, 42, 30, 9, 1, 163, 140, 58, 12, 1, 638, 630, 325, 95, 15, 1, 2510, 2772, 1686, 624, 141, 18, 1, 9908, 12012, 8330, 3682, 1064, 196, 21, 1, 39203, 51480, 39796, 20264, 7050, 1672, 260, 24, 1, 155382, 218790, 185517, 106203, 42849, 12303, 2475 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Columns include A032443,A002457,A018218,A038836. Row sums are A100192. Diagonal sums are A113956.

LINKS

Table of n, a(n) for n=0..51.

FORMULA

Riordan array ((1/(1-4x)+1/sqrt(1-4x))/2, (2x/((1-4x)+sqrt(1-4x)))); Number triangle T(n, k)=sum{j=0..n, C(j, j-k)C(2n, n-j)}.

T(n,k)=sum{j=0..n, C(2n,j)C(n-j,k)}; - Paul Barry, Apr 03 2006

EXAMPLE

Triangle begins

1;

3, 1;

11, 6, 1;

42, 30, 9, 1;

163, 140, 58, 12, 1;

638, 630, 325, 95, 15, 1;

CROSSREFS

Sequence in context: A027446 A027516 A092808 * A110165 A111965 A110440

Adjacent sequences:  A113952 A113953 A113954 * A113956 A113957 A113958

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Nov 09 2005

STATUS

approved

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Last modified January 18 23:05 EST 2019. Contains 319282 sequences. (Running on oeis4.)