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A007611 a(n) = n! + 2^n.
(Formerly M0807)
7
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; text; internal format)
OFFSET

0,1

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.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

51st Annual Putnam Competition, Problem A-1, Math. Mag., 64 (1991), 141-144.

Index entries for sequences related to factorial numbers

FORMULA

a(n) = (n+4) a(n-1) - 4n a(n-2) + (4n-8) a(n-3) with a(0) = 2, a(1) = 3, a(2) = 6. - Dennis S. Kluk (mathemagician(AT)ameritech.net), Feb 12 2006

From Robert Israel, Mar 06 2016: (Start)

a(n) = A000079(n)+A000142(n).

E.g.f.: 1/(1-x) + exp(2x). (End)

MAPLE

seq(2^n+n!, n=0..50); # Robert Israel, Mar 06 2016

MATHEMATICA

Table[n! + 2^n, {n, 0, 19}] (* Alonso del Arte, Mar 06 2016 *)

PROG

(Sage) [factorial(n)+2^n for n in range(0, 21)] # Zerinvary Lajos, Oct 27 2009

(MAGMA) [Factorial(n)+ 2^n: n in [0..30]]; // Vincenzo Librandi, Jun 10 2013

CROSSREFS

Cf. A000079, A000142.

Sequence in context: A157100 A081293 A193215 * A098641 A188775 A015892

Adjacent sequences:  A007608 A007609 A007610 * A007612 A007613 A007614

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Robert G. Wilson v

STATUS

approved

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Last modified April 11 14:29 EDT 2021. Contains 342886 sequences. (Running on oeis4.)