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Search: id:A097590
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| A097590 |
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a(n)=sum from i=2 to n of the Lesser Fortunate numbers (A055211). |
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+0
1
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| 3, 10, 21, 34, 51, 80, 103, 146, 187, 260, 319, 366, 455, 522, 595, 702, 791, 892, 1019, 1116, 1199, 1288, 1385, 1636, 1767, 1880, 2031, 2294, 2545, 2768, 2947, 3336, 3617, 3768, 3965, 4138, 4377, 4610, 4801, 5024, 5247, 5540, 6133, 6426, 6883, 7110, 7421
(list; graph; listen)
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OFFSET
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2,1
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FORMULA
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Let F(n) := a(n)/A007504(n). Conjecture: as n tends to infinity F(n) tends to pi/2 with pi=3.14159......
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MATHEMATICA
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PrevPrime[ n_Integer] := Block[ {k = n - 1}, While[ ! PrimeQ[ k ], k-- ]; k ]; LF[ n_Integer ] := Block[ { p = Product[ Prime[ i ], {i, 1, n} ] - 1, q}, q = PrevPrime[ p ]; p - q + 1 ]; t = Table[LF[ n ], {n, 2, 48}]; Table[Plus @@ Take[t, n], {n, 47}] (from Robert G. Wilson v Sep 04 2004)
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CROSSREFS
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Cf. A007504, A055211.
Sequence in context: A092305 A073604 A004194 this_sequence A014105 A027917 A038347
Adjacent sequences: A097587 A097588 A097589 this_sequence A097591 A097592 A097593
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KEYWORD
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nonn
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AUTHOR
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Pierre CAMI (pierrecami(AT)tele2.fr), Aug 29 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 04 2004
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