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A101292
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a(n) = n! + sum(i=1 to n) i.
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0
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2, 5, 12, 34, 135, 741, 5068, 40356, 362925, 3628855, 39916866, 479001678, 6227020891, 87178291305, 1307674368120, 20922789888136, 355687428096153, 6402373705728171, 121645100408832190, 2432902008176640210
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| a(n) = n! + n(n+1)/2.
Sum(n!+(j+1!),j=0..n). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 20 2006
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EXAMPLE
| If n=3, 3! + (1+2+3) = 12
If n=5, 5! + (1+2+3+4+5) = 135
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MAPLE
| seq(n!+n*(n+1)/2, n=1..22); (Deutsch)
a:=n->sum(n!+(j+1!), j=0..n): seq(a(n), n=0..19); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 20 2006
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MATHEMATICA
| lst={}; s=0; Do[s=s+n; AppendTo[lst, n!+s], {n, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 07 2008]
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CROSSREFS
| Sequence in context: A176638 A131467 A000103 * A131267 A148286 A075202
Adjacent sequences: A101289 A101290 A101291 * A101293 A101294 A101295
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KEYWORD
| base,nonn,easy
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AUTHOR
| Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Dec 21 2004
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 12 2005
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