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Search: id:A005095
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| 1, 2, 4, 9, 28, 125, 726, 5047, 40328, 362889, 3628810, 39916811, 479001612, 6227020813, 87178291214, 1307674368015, 20922789888016, 355687428096017, 6402373705728018, 121645100408832019
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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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]
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LINKS
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Index entries for sequences related to factorial numbers
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FORMULA
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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
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MATHEMATICA
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lst={}; Do[AppendTo[lst, n!+n], {n, 3*4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 20 2008]
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CROSSREFS
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Cf. A135723.
A090786. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 10 2009]
Sequence in context: A148085 A003320 A007876 this_sequence A092329 A053548 A054119
Adjacent sequences: A005092 A005093 A005094 this_sequence A005096 A005097 A005098
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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