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Search: id:A110378
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| A110378 |
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SUM (n!/p!) where p is a prime <=n. |
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+0 2
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| 1, 4, 16, 81, 486, 3403, 27224, 245016, 2450160, 26951761, 323421132, 4204474717, 58862646038, 882939690570, 14127035049120, 240159595835041, 4322872725030738, 82134581775584023, 1642691635511680460
(list; graph; listen)
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OFFSET
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2,2
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EXAMPLE
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a(6) = 6!{ 2! +1/3! +1/5!}=486.
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MAPLE
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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)
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CROSSREFS
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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
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KEYWORD
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easy,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 24 2005
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EXTENSIONS
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Corrected and extended by Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 24 2005
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