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A112458
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Let b(n) = A112455(n). Then b(n)/n is an integer iff n is prime (at least for the first few values, as for the Perrin sequence). This sequence is the values of b(p)/p, where p is the n th prime.
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2
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1, 1, -1, 1, 0, 1, 3, -3, 2, -16, 13, 58, 93, -48, 257, -508, -2439, 3751, 3120, 21824, -28485, -49886, -184653, -158325, -1238859, 2621639, -6281879, -10666638, 5587636, -32300736, -541428896, -309499443, -3404250996, 4487895627, 30910925690, -33820854920, -104685213761, 219810779538
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,7
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REFERENCES
| See Perrin sequences
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MAPLE
| A112455 := proc(n) option remember; if n <= 3 then op(n+1, [ -3, 0, 2, 3]) ; else -A112455(n-2)-A112455(n-3) ; fi ; end: A112458 := proc(n) local p ; p := ithprime(n) ; A112455(p)/p ; end: seq(A112458(n), n=1..80) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 24 2007
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CROSSREFS
| Sequence in context: A164705 A073754 A193229 * A019252 A196544 A002073
Adjacent sequences: A112455 A112456 A112457 * A112459 A112460 A112461
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KEYWORD
| sign
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AUTHOR
| Anthony C Robin (anthony_robin(AT)hotmail.com), Dec 13 2005
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 24 2007
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