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Search: id:A095200
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| A095200 |
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Greatest multiple of n of the form (n-1) + (n-2) + ... + (n-k), or 0 if no such number exists. |
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+0
3
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| 0, 0, 3, 0, 10, 12, 21, 0, 36, 30, 55, 60, 78, 70, 105, 0, 136, 108, 171, 180, 210, 176, 253, 240, 300, 234, 351, 168, 406, 420, 465, 0, 528, 408, 595, 252, 666, 532, 741, 480, 820, 840, 903, 880, 990, 782, 1081, 1008, 1176, 900, 1275, 1248, 1378, 1080, 1485, 1512
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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a(2n-1) = (n-1)*(2n-1) (the (2n-2)-th triangular number, with k = 2n-2). a(2^n) = 0.
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EXAMPLE
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a(6) = 5+4+3 = 12.
a(7) = 6+5+4+3+2+1=21.
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MAPLE
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A095200 := proc(n) local k, m; for k from n to 1 by -1 do m := n*k-k*(k+1)/2 ; if m > 0 and m mod n = 0 then RETURN(m) ; fi ; od ; RETURN(0) ; end: for n from 1 to 100 do printf("%d, ", A095200(n)) ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 30 2007
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CROSSREFS
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Cf. A095201, A095202.
Sequence in context: A081658 A119957 A028852 this_sequence A090460 A071983 A094897
Adjacent sequences: A095197 A095198 A095199 this_sequence A095201 A095202 A095203
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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), Jun 05 2004
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 30 2007
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