The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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