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A053817 a(0)=1, a(n) = n*(a(n-1) + n). 0
1, 2, 8, 33, 148, 765, 4626, 32431, 259512, 2335689, 23356990, 256927011, 3083124276, 40080615757, 561128620794, 8416929312135, 134670868994416, 2289404772905361, 41209285912296822, 782976432333639979 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..19.

FORMULA

a(n) = A030297(n) + n! = A019460(2n+1) - n. - Henry Bottomley, Nov 10 2000

a(n)= n! + floor(2*e*n!-n) - 2, n>1. - Gary Detlefs, Jun 22 2010

EXAMPLE

Start with 1, add 1, multiply by 1 (getting 2), add 2, multiply by 2 (getting 8).

MATHEMATICA

a=1; lst={a}; Do[a=(a+n)*n; AppendTo[lst, a], {n, 2*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Dec 14 2008 *)

RecurrenceTable[{a[0]==1, a[n]==n(a[n-1]+n)}, a, {n, 20}] (* Harvey P. Dale, Feb 14 2015 *)

CROSSREFS

Sequence in context: A150879 A150880 A150881 * A150882 A150883 A150884

Adjacent sequences:  A053814 A053815 A053816 * A053818 A053819 A053820

KEYWORD

nonn,easy,nice

AUTHOR

mindy and steve schwartz (minsteve(AT)netvision.net.il), Apr 07 2000

EXTENSIONS

More terms from James A. Sellers, Apr 08 2000

STATUS

approved

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Last modified November 22 10:59 EST 2019. Contains 329389 sequences. (Running on oeis4.)