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

Author

Clark Kimberling

Keywords

• nonn
• changed

Crossrefs

Cf. A034261.

Programs

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 *)

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)

Extensions

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