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A050916 a(n) = n*5^n + 1. 3
1, 6, 51, 376, 2501, 15626, 93751, 546876, 3125001, 17578126, 97656251, 537109376, 2929687501, 15869140626, 85449218751, 457763671876, 2441406250001, 12969970703126, 68664550781251, 362396240234376, 1907348632812501 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (11,-35,25).

FORMULA

a(n) = 11*a(n-1) - 35*a(n-2) + 25*a(n-3); a(0)=1, a(1)=6, a(2)=51. [Harvey P. Dale, Sep 15 2011]

G.f.: -(20*x^2-5*x+1)/((x-1)*(5*x-1)^2). [Colin Barker, Oct 14 2012]

MATHEMATICA

Table[n 5^n+1, {n, 0, 20}] (* or *) LinearRecurrence[{11, -35, 25}, {1, 6, 51}, 20] (* Harvey P. Dale, Sep 15 2011 *)

PROG

(MAGMA) [ n*5^n+1: n in [0..20]]; // Vincenzo Librandi, Sep 16 2011

CROSSREFS

Cf. A002064.

Sequence in context: A113653 A133395 A341424 * A011790 A292840 A202754

Adjacent sequences:  A050913 A050914 A050915 * A050917 A050918 A050919

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Dec 30 1999

STATUS

approved

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Last modified May 7 19:41 EDT 2021. Contains 343652 sequences. (Running on oeis4.)