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A117434 Expansion of c(x*y(1+x)), c(x) the g.f. of A000108. +0
5
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; listen)
OFFSET

0,6

COMMENT

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

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 this_sequence A115179 A131742 A056676

Adjacent sequences: A117431 A117432 A117433 this_sequence A117435 A117436 A117437

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 14 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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