A183067 G.f.: A(x) = Sum_{n>=0} (4n)!/n!^4 * x^(2n)/(1-2*x)^(4n+1).

1, 2, 28, 248, 3976, 52112, 850144, 13032896, 217878616, 3594283952, 61577419168, 1056910842176, 18485891235904, 325146542386304, 5781811796793088, 103413141115923968, 1863085674077321176, 33737014083314312624

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Formula

Row sums of triangle A183065.

Prog

(PARI) {a(n)=polcoeff(sum(m=0, n, (4*m)!/m!^4*x^(2*m)/(1-2*x+x*O(x^n))^(4*m+1)), n)}

Crossrefs

Cf. A183065, A183066, A183068.

Sequence in context: A243475 A019441 A147537 * A056261 A326248 A230270

Adjacent sequences: A183064 A183065 A183066 * A183068 A183069 A183070

Keyword

nonn

Author

Paul D. Hanna, Dec 22 2010

Status

approved