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Search: id:A110373
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| A110373 |
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SUM (n!/p) where p is a prime <=n. |
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+0 7
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| 1, 5, 20, 124, 744, 5928, 47424, 426816, 4268160, 50578560, 606942720, 8369256960, 117169597440, 1757543961600, 28120703385600, 498974747443200, 8981545453977600, 177051737331302400, 3541034746626048000
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OFFSET
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2,2
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EXAMPLE
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a(7) = 7!{1/2 +1/3 +1/5 +1/7 } = 5928.
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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. A110374.
Adjacent sequences: A110370 A110371 A110372 this_sequence A110374 A110375 A110376
Sequence in context: A117736 A028944 A054720 this_sequence A081067 A024066 A009569
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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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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 24 2005
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