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A005095 n! + n. 5
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; 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 (reinhard.zumkeller(AT)gmail.com), Jul 10 2009]

LINKS

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 (qntmpkt(AT)yahoo.com), Nov 25 2007

MATHEMATICA

lst={}; Do[AppendTo[lst, n!+n], {n, 3*4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 20 2008]

CROSSREFS

Cf. A135723.

A090786. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 10 2009]

Sequence in context: A003320 A007876 A176068 * A092329 A053548 A054119

Adjacent sequences:  A005092 A005093 A005094 * A005096 A005097 A005098

KEYWORD

nonn

AUTHOR

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

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Last modified February 16 15:27 EST 2012. Contains 205930 sequences.