A110384 a(1) = 1; a(n+1) = a(n)*(a(n) + n).

1, 2, 8, 88, 8096, 65585696, 4301483913318592, 18502763856538658405109886092608, 342352270330833327273885765082712290623512199361069533040982528

Offset

1,2

Links

Table of n, a(n) for n=1..9.

Formula

a(n) ~ c^(2^n), where c = 1.32476133150649295684153231492231865907402550177962959967618... . - Vaclav Kotesovec, Jan 19 2015

Maple

a[1]:=1: for n from 1 to 10 do a[n+1]:=a[n]*(a[n]+n) od: seq(a[n], n=1..10); # Emeric Deutsch, Jul 31 2005

Mathematica

s=1; lst={}; Do[s*=n+s; AppendTo[lst, s], {n, 0, 3!, 1}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 10 2008 *)
RecurrenceTable[{a[1]==1, a[n]==a[n-1](a[n-1]+n-1)}, a[n], {n, 10}] (* Harvey P. Dale, May 04 2011 *)

Crossrefs

Sequence in context: A012299 A012295 A009486 * A153887 A131349 A319124

Adjacent sequences: A110381 A110382 A110383 * A110385 A110386 A110387

Keyword

easy,nonn

Author

Amarnath Murthy, Jul 25 2005

Extensions

Corrected and extended by Emeric Deutsch, Jul 31 2005

Status

approved