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A110378 SUM (n!/p!) where p is a prime <=n. +0
2
1, 4, 16, 81, 486, 3403, 27224, 245016, 2450160, 26951761, 323421132, 4204474717, 58862646038, 882939690570, 14127035049120, 240159595835041, 4322872725030738, 82134581775584023, 1642691635511680460 (list; graph; listen)
OFFSET

2,2

EXAMPLE

a(6) = 6!{ 2! +1/3! +1/5!}=486.

MAPLE

a:=proc(n) local s, i: s:=0: for i from 2 to n do if isprime(i)=true then s:=s+1/i! else s:=s: fi: od: n!*s: end: seq(a(n), n=2..23); (Deutsch)

CROSSREFS

Cf. A110373, A110374, A038048, A110376, A110377.

Sequence in context: A118997 A001257 A133053 this_sequence A076997 A092304 A022564

Adjacent sequences: A110375 A110376 A110377 this_sequence A110379 A110380 A110381

KEYWORD

easy,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 24 2005

EXTENSIONS

Corrected and extended by Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 24 2005

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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