A092371 Triangle read by rows: T(n,k)=C(n,k)*C(n+k,n-k).

1, 6, 1, 18, 15, 1, 40, 90, 28, 1, 75, 350, 280, 45, 1, 126, 1050, 1680, 675, 66, 1, 196, 2646, 7350, 5775, 1386, 91, 1, 288, 5880, 25872, 34650, 16016, 2548, 120, 1, 405, 11880, 77616, 162162, 126126, 38220, 4320, 153, 1, 550, 22275, 205920, 630630

Offset

1,2

Links

Table of n, a(n) for n=1..49.

Formula

T(n,k)=[x^(n-k)]F(-n,-n-k;1;x); [From Paul Barry, Sep 04 2008]

Prog

(PARI) T(n, k)=binomial(n, k)*binomial(n+k, n-k)

Crossrefs

First column = A002411, second column = A001297, main diagonal = 1, second diagonal = A000384.

Cf. A063007.

Sequence in context: A277068 A369904 A373573 * A187552 A157386 A157396

Adjacent sequences: A092368 A092369 A092370 * A092372 A092373 A092374

Keyword

nonn,tabl

Author

Benoit Cloitre, Mar 20 2004

Status

approved