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Search: id:A014144
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| A014144 |
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Apply partial sum operator twice to factorials. |
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+0
4
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| 0, 1, 3, 7, 17, 51, 205, 1079, 6993, 53227, 462341, 4500255, 48454969, 571411283, 7321388397, 101249656711, 1502852293025, 23827244817339, 401839065437653, 7182224591785967, 135607710526966281
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Equals row sums of triangle A137948 starting with offset 1. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 28 2008
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LINKS
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Alexsandar Petojevic, The Function vM_m(s; a; z) and Some Well-Known Sequences, Journal of Integer Sequences, Vol. 5 (2002), Article 02.1.7
Index entries for sequences related to factorial numbers
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FORMULA
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a(n) = (n-1) * !n - n! + 1, !n = sum[ k=0..n-1 ] k! - Joe Keane (jgk(AT)jgk.org)
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MATHEMATICA
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lst={}; s0=s1=0; Do[s0+=a[n]; s1+=s0; AppendTo[lst, s1], {n, 0, 2*4!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 10 2008]
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CROSSREFS
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Cf. A000142, A003422.
Cf. A137948.
Sequence in context: A151265 A071985 A090977 this_sequence A096358 A146147 A153758
Adjacent sequences: A014141 A014142 A014143 this_sequence A014145 A014146 A014147
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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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