A074503 a(n) = 1^n + 2^n + 7^n.

3, 10, 54, 352, 2418, 16840, 117714, 823672, 5765058, 40354120, 282476274, 1977328792, 13841291298, 96889018600, 678223089234, 4747561542712, 33232930635138, 232630514118280, 1628413598172594, 11398895185897432

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (10,-23,14).

Formula

From Mohammad K. Azarian, Dec 26 2008: (Start)

G.f.: 1/(1-x) + 1/(1-2*x) + 1/(1-7*x).

E.g.f.: e^x + e^(2*x) + e^(7*x). (End)

a(n) = 9*a(n-1) - 14*a(n-2) + 6 with a(0)=3, a(1)=10. - Vincenzo Librandi, Jul 21 2010

Mathematica

Table[1^n + 2^n + 7^n, {n, 0, 20}]
LinearRecurrence[{10, -23, 14}, {3, 10, 54}, 20] (* Harvey P. Dale, May 21 2019 *)

Crossrefs

Cf. A001550, A001576, A034513, A001579, A074501..A074580.

Sequence in context: A135829 A071895 A054422 * A318188 A229311 A208480

Adjacent sequences: A074500 A074501 A074502 * A074504 A074505 A074506

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved