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A024049 5^n-1. 16
0, 4, 24, 124, 624, 3124, 15624, 78124, 390624, 1953124, 9765624, 48828124, 244140624, 1220703124, 6103515624, 30517578124, 152587890624, 762939453124, 3814697265624, 19073486328124, 95367431640624 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Numbers n for which the expression 5^n/(n+1) is an integer. - Paolo P. Lava (paoloplava(AT)gmail.com), May 29 2006

Numbers whose base 5 representation is 44444.......4. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 03 2007

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..400

FORMULA

G.f.: 1/(1-5*x)-1/(1-x). E.g.f.: e^(5*x)-e^x. [From Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 14 2009]

a(n+1) = 5*a(n) + 4. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 22 2009]

MATHEMATICA

5^Range[0, 50]-1 (*From Vladimir Joseph Stephan Orlovsky, Feb 20 2011*)

PROG

(MAGMA) [5^n-1: n in [0..30]]; // Vincenzo Librandi, Jun 06 2011

CROSSREFS

Sequence in context: A002011 A049315 A098224 * A103455 A174443 A180222

Adjacent sequences:  A024046 A024047 A024048 * A024050 A024051 A024052

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 14 04:10 EST 2012. Contains 205570 sequences.