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A110384
a(1) = 1; a(n+1) = a(n)*(a(n) + n).
0
1, 2, 8, 88, 8096, 65585696, 4301483913318592, 18502763856538658405109886092608, 342352270330833327273885765082712290623512199361069533040982528
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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