A166375 - OEIS

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A166375

a(n) = sum (floor (j^2/n)) taken over 1 <= j <= n-1.

5

0, 1, 3, 4, 7, 11, 16, 20, 24, 31, 39, 44, 53, 63, 74, 80, 92, 103, 117, 128, 141, 157, 174, 186, 200, 219, 237, 252, 273, 293, 316, 332, 352, 377, 403, 420, 445, 473, 500, 520, 548, 575, 607, 634, 663, 695, 730, 756, 786, 819, 853, 884, 921, 959, 998

(list; graph; refs; listen; history; text; internal format)

OFFSET

2,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 2..1000

FORMULA

a(n) = A014817(n) - n. - R. J. Mathar, Jul 21 2015

MAPLE

A166375 := proc(n)

add( floor(j^2/n), j=1..n-1) ;

end proc: # R. J. Mathar, Jul 21 2015

MATHEMATICA

Table[Sum[Floor[k^2/n], {k, 1, n - 1}], {n, 2, 100}] (* G. C. Greubel, May 10 2016 *)

PROG

(PARI) a(n) = sum(j=1, n-1, j^2\n) \\ Michel Marcus, Jun 20 2013

CROSSREFS

Row sums of A166373. Cf. A014817.

Sequence in context: A127208 A027022 A120365 * A177041 A357680 A060962

Adjacent sequences: A166372 A166373 A166374 * A166376 A166377 A166378

KEYWORD

nonn

AUTHOR

Christopher Hunt Gribble, Oct 13 2009

STATUS

approved