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A066998 a(0)=0; a(n)=n^2*a(n-1) + 1. +0
1
0, 1, 5, 46, 737, 18426, 663337, 32503514, 2080224897, 168498216658, 16849821665801, 2038828421561922, 293591292704916769, 49616928467130933962, 9724917979557663056553, 2188106545400474187724426 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n)=(n!)^2*sum(i=1, n, 1/(i!)^2).

a(n) = floor((1-BesselI(0, 2))*(n!)^2). - Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 02 2002

CROSSREFS

This is the same recurrence relation as A006040 except A006040 has a(0)=1.

Adjacent sequences: A066995 A066996 A066997 this_sequence A066999 A067000 A067001

Sequence in context: A071214 A052873 A052894 this_sequence A036246 A000872 A060392

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 27 2002

EXTENSIONS

Better description from James D. Klein (kleiji(AT)wwc.edu), Feb 25 2002

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Last modified October 6 12:54 EDT 2008. Contains 144667 sequences.


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