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Search: id:A114104
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| 1, 1, 2, 3, 3, 1, 4, 1, 4, 2, 5, 5, 5, 5, 1, 3, 6, 1, 6, 3, 2, 7, 7, 7, 7, 7, 7, 1, 8, 4, 8, 1, 8, 4, 8, 2, 9, 9, 3, 9, 9, 3, 9, 9, 1, 5, 10, 5, 10, 1, 10, 5, 10, 5, 2, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 1, 12, 3, 4, 6, 12, 1, 12, 6, 4, 3, 12, 2, 13, 13
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Iff k appears k-1 times successively then k is prime.
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MAPLE
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A000217 := proc(n) n*(n+1)/2 ; end: A003056 := proc(n) floor((sqrt(1+8*n)-1)/2) ; end: A114103 := proc(n, k) lcm(n, A000217(n-1)+k) ; end: A114104 := proc(n) local row, col ; row := A003056(n-1)+1 ; col := n-A000217(row-1) ; A114103(row, col)/n ; end: for n from 1 to 80 do printf("%d, ", A114104(n)) ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 10 2007
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CROSSREFS
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Cf. A114103, A114105.
Sequence in context: A109199 A087074 A136453 this_sequence A076780 A089283 A077941
Adjacent sequences: A114101 A114102 A114103 this_sequence A114105 A114106 A114107
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 21 2005
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EXTENSIONS
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Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 10 2007
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