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A117434 Expansion of c(x*y(1+x)), c(x) the g.f. of A000108. 4
1, 0, 1, 0, 1, 2, 0, 0, 4, 5, 0, 0, 2, 15, 14, 0, 0, 0, 15, 56, 42, 0, 0, 0, 5, 84, 210, 132, 0, 0, 0, 0, 56, 420, 792, 429, 0, 0, 0, 0, 14, 420, 1980, 3003, 1430, 0, 0, 0, 0, 0, 210, 2640, 9009, 11440, 4862, 0, 0, 0, 0, 0, 42, 1980, 15015, 40040, 43758, 16796, 0, 0, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

Row sums are A052709(n+1). Diagonal sums are A115178. Alternating sign version is A115179.

LINKS

Table of n, a(n) for n=0..71.

FORMULA

Number triangle T(n,k)=C(k)C(k,n-k).

EXAMPLE

Triangle begins

.1,

.0, 1,

.0, 1, 2,

.0, 0, 4, 5,

.0, 0, 2, 15, 14,

.0, 0, 0, 15, 56, 42,

.0, 0, 0, 5, 84, 210, 132,

.0, 0, 0, 0, 56, 420, 792, 429

CROSSREFS

Sequence in context: A107498 A094295 A085969 * A115179 A131742 A257813

Adjacent sequences:  A117431 A117432 A117433 * A117435 A117436 A117437

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Mar 14 2006

STATUS

approved

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Last modified July 21 02:48 EDT 2017. Contains 289629 sequences.