A034264 a(n) = f(n,4) where f is given in A034261.

0, 1, 11, 56, 196, 546, 1302, 2772, 5412, 9867, 17017, 28028, 44408, 68068, 101388, 147288, 209304, 291669, 399399, 538384, 715484, 938630, 1216930, 1560780, 1981980, 2493855, 3111381, 3851316, 4732336, 5775176, 7002776, 8440432

Offset

0,3

Links

Table of n, a(n) for n=0..31.

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Formula

G.f.: -x*(1+4*x)/(x-1)^7. - R. J. Mathar, Feb 10 2025

a(n) = n*(5*n+1)*(n+4)*(n+3)*(n+2)*(n+1)/720. - R. J. Mathar, Feb 10 2025

Maple

A034261 := proc(n, k) binomial(n+k, k+1)*(n*k+n+1)/(k+2); end;
seq( A034261(n, 4), n=0..40) ;

Mathematica

LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {0, 1, 11, 56, 196, 546, 1302}, 40] (* Harvey P. Dale, Jul 11 2025 *)

Crossrefs

Cf. A034261.

Sequence in context: A223773 A224154 A079547 * A051946 A224405 A201150

Adjacent sequences: A034261 A034262 A034263 * A034265 A034266 A034267

Keyword

nonn,easy

Author

Clark Kimberling

Extensions

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

Status

approved