A016891 a(n) = (5*n+3)^7.

2187, 2097152, 62748517, 612220032, 3404825447, 13492928512, 42618442977, 114415582592, 271818611107, 587068342272, 1174711139837, 2207984167552, 3938980639167, 6722988818432, 11047398519097, 17565568854912, 27136050989627, 40867559636992, 60170087060757, 86812553324672

Offset

0,1

Comments

The inverse binomial transform is 2187, 2094965, 58556400, 430263750, 1324050000, 1974000000, 1417500000, 393750000, 0, (0 from there on). - R. J. Mathar, May 07 2008

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Formula

O.g.f.: (2187+2079656x+46032537x^2+168829680x^3+146736245x^4+29247048x^5+822519 x^6+128x^7) / (1-x)^8. - R. J. Mathar, May 07 2008

Mathematica

(5*Range[0, 20] + 3)^7 (* Paolo Xausa, Dec 10 2025 *)

Crossrefs

Sequence in context: A224315 A224379 A016843 * A016951 A223794 A223980

Adjacent sequences: A016888 A016889 A016890 * A016892 A016893 A016894

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved