A034272 a(n) = f(n,n+5) where f is given in A034261.

0, 1, 17, 154, 1066, 6370, 34748, 178296, 875976, 4167669, 19348175, 88112310, 395137470, 1749894510, 7669512840, 33323053200, 143720109360, 615950596170, 2625443201394, 11137650267156, 47051359045460, 198038873490436, 830820684414952, 3475320352223440, 14499176256634160

Offset

0,3

Links

Table of n, a(n) for n=0..24.

Formula

From Amiram Eldar, Sep 04 2025: (Start)

a(n) = binomial(2*n+5, n+6)*(n^2+6*n+1)/(n+7);

a(n) ~ 2^(2*n+5) * sqrt(n/Pi). (End)

Mathematica

a[n_] := Binomial[2*n + 5, n + 6]*(n^2 + 6*n + 1)/(n + 7); Array[a, 25, 0] (* Amiram Eldar, Sep 04 2025 *)

Crossrefs

Cf. A034261.

Sequence in context: A295932 A298458 A160699 * A386729 A142087 A176838

Adjacent sequences: A034269 A034270 A034271 * A034273 A034274 A034275

Keyword

nonn

Author

Clark Kimberling

Extensions

Corrected and extended by N. J. A. Sloane, Apr 21 2000

Status

approved