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A007611
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n! + 2^n.
(Formerly M0807)
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0
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2, 3, 6, 14, 40, 152, 784, 5168, 40576, 363392, 3629824, 39918848, 479005696, 6227028992, 87178307584, 1307674400768, 20922789953536, 355687428227072, 6402373705990144, 121645100409356288, 2432902008177688576
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| Page 605, Exercise 135 in Calculus of a Single Variable for Advanced High School Students, 8th Edition, by Ron Larson, Robert P. Hostetler and Bruce H. Edwards, 2006.
51st Annual Putnam Competition, Problem A-1, Math. Mag., 64 (1991), 141-144.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Index entries for sequences related to factorial numbers
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FORMULA
| T[n] = (n+4)T[n-1]-4nT[n-2]+(4n-8)T[n-3] with T[0]=2,T[1]=3,T[2]=6 - Dennis S. Kluk (mathemagician(AT)ameritech.net), Feb 12 2006
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MATHEMATICA
| lst={}; Do[AppendTo[lst, n!+2^n], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 19 2008]
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PROG
| (Other) sage: [factorial(n)+2^n for n in xrange(0, 21)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 27 2009]
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CROSSREFS
| Sequence in context: A157100 A081293 A193215 * A098641 A188775 A056569
Adjacent sequences: A007608 A007609 A007610 * A007612 A007613 A007614
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
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