A224384 a(n) = 1 + 17^n.

2, 18, 290, 4914, 83522, 1419858, 24137570, 410338674, 6975757442, 118587876498, 2015993900450, 34271896307634, 582622237229762, 9904578032905938, 168377826559400930, 2862423051509815794, 48661191875666868482, 827240261886336764178, 14063084452067724991010

Offset

0,1

Comments

Sum of n-th powers of divisors of 17.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (18,-17).

Formula

a(n) = A001026(n) + 1.

G.f.: 1/(1-x) + 1/(1-17*x).

E.g.f.: exp(x) + exp(17*x).

a(n) = 18*a(n-1) - 17*a(n-2) with a(0) = 2, a(1) = 18.

Mathematica

17^Range[0, 20]+1 (* Harvey P. Dale, Jul 19 2019 *)

Crossrefs

Cf. A001026.

Similar sequences: A000051, A034472, A001576, A034474, A034488, A034491, A034496, A034513, A034517, A034524, A034660, A141012, A141013, A141014, A020514, A034661, A034662, A034663, A034664, A034665, A034666, A034667, A034668, A034669, A020516, A034671, A034672, A034673, A034674, A034675.

Sequence in context: A123385 A374086 A121564 * A377546 A092563 A258922

Adjacent sequences: A224381 A224382 A224383 * A224385 A224386 A224387

Keyword

nonn,easy

Author

Philippe Deléham, Apr 05 2013

Status

approved