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A005095 n! + n. 7
1, 2, 4, 9, 28, 125, 726, 5047, 40328, 362889, 3628810, 39916811, 479001612, 6227020813, 87178291214, 1307674368015, 20922789888016, 355687428096017, 6402373705728018, 121645100408832019 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Every infinite, increasing, integer arithmetic progression meets this sequence infinitely often. - John Abbott (abbott(AT)dima.unige.it), Mar 06 2003

SUM(A010051(k): A038507(n) < k <= a(n)) = 0. [From Reinhard Zumkeller, Jul 10 2009]

LINKS

Table of n, a(n) for n=0..19.

Index entries for sequences related to factorial numbers

FORMULA

E.g.f.: x*exp(x) + 1/(1-x). - Len Smiley (smiley(AT)math.uaa.alaska.edu), Dec 05 2001

Row sums of triangle A135723 - Gary W. Adamson, Nov 25 2007

MATHEMATICA

lst={}; Do[AppendTo[lst, n!+n], {n, 3*4!}]; lst [From Vladimir Joseph Stephan Orlovsky, Nov 20 2008]

PROG

(Maxima) A005095(n):= n!+n$

makelist(A005095(n), n, 0, 30); /* Martin Ettl, Nov 03 2012 */

CROSSREFS

Cf. A135723.

A090786. [From Reinhard Zumkeller, Jul 10 2009]

Sequence in context: A003320 A007876 A176068 * A208965 A214935 A092329

Adjacent sequences:  A005092 A005093 A005094 * A005096 A005097 A005098

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 25 12:15 EDT 2013. Contains 225647 sequences.