A050917 a(n) = n*6^n + 1.

1, 7, 73, 649, 5185, 38881, 279937, 1959553, 13436929, 90699265, 604661761, 3990767617, 26121388033, 169789022209, 1097098297345, 7052774768641, 45137758519297, 287753210560513, 1828079220031489, 11577835060199425, 73123168801259521, 460675963447934977

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (13,-48,36).

Formula

G.f.: -(30*x^2-6*x+1)/((x-1)*(6*x-1)^2). [Colin Barker, Oct 14 2012]

a(0)=1, a(1)=7, a(2)=73, a(n)=13*a(n-1)-48*a(n-2)+36*a(n-3). - Harvey P. Dale, Feb 20 2013

Mathematica

Table[n 6^n+1, {n, 0, 40}] (* or *) LinearRecurrence[{13, -48, 36}, {1, 7, 73}, 40] (* Harvey P. Dale, Feb 20 2013 *)

Prog

(Magma) [ n*6^n+1: n in [0..20]]; // Vincenzo Librandi, Sep 16 2011
(PARI) vector(20, n, n--; n*6^n + 1) \\ Michel Marcus, Jun 11 2015

Crossrefs

Cf. A002064.

Sequence in context: A318688 A117982 A003535 * A308418 A240195 A025592

Adjacent sequences: A050914 A050915 A050916 * A050918 A050919 A050920

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 30 1999

Status

approved