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A095200 Greatest multiple of n of the form (n-1) + (n-2) + ... + (n-k), or 0 if no such number exists. 3
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; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

a(2n-1) = (n-1)*(2n-1) (the (2n-2)-th triangular number, with k = 2n-2). a(2^n) = 0.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

a(6) = 5 + 4 + 3 = 12.

a(7) = 6 + 5 + 4 + 3 + 2 + 1 = 21.

MAPLE

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, Apr 30 2007

MATHEMATICA

Table[Max[Select[Accumulate[Range[n-1, 1, -1]], Divisible[#, n]&]], {n, 60}]/.(-\[Infinity]->0) (* Harvey P. Dale, Jul 24 2018 *)

CROSSREFS

Cf. A095201, A095202.

Sequence in context: A119957 A028852 A319202 * A090460 A071983 A302693

Adjacent sequences:  A095197 A095198 A095199 * A095201 A095202 A095203

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Jun 05 2004

EXTENSIONS

More terms from R. J. Mathar, Apr 30 2007

STATUS

approved

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Last modified May 19 17:10 EDT 2019. Contains 323395 sequences. (Running on oeis4.)