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A024062 a(n) = 6^n-1. 8
0, 5, 35, 215, 1295, 7775, 46655, 279935, 1679615, 10077695, 60466175, 362797055, 2176782335, 13060694015, 78364164095, 470184984575, 2821109907455, 16926659444735, 101559956668415, 609359740010495 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

In base 6 these are 0, 5, 55, 555, ... - David Rabahy, Dec 12 2016

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (7,-6).

FORMULA

G.f.: 1/(1-6*x)-1/(1-x). - Mohammad K. Azarian, Jan 14 2009

E.g.f.: exp(6*x)-exp(x). - Mohammad K. Azarian, Jan 14 2009

a(n+1) = 6*a(n) + 5. - Reinhard Zumkeller, Nov 22 2009

a(n) = Sum_{i=1..n} 5^i*binomial(n,n-i) for n>0, a(0)=0. - Bruno Berselli, Nov 11 2015

PROG

(MAGMA) [6^n-1: n in [0..25]]; // Vincenzo Librandi, Jul 03 2011

(PARI) a(n)=6^n-1 \\ Charles R Greathouse IV, Dec 12 2016

CROSSREFS

Sequence in context: A123008 A038143 A221578 * A180250 A002074 A187444

Adjacent sequences:  A024059 A024060 A024061 * A024063 A024064 A024065

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified June 24 09:56 EDT 2017. Contains 288697 sequences.