A218444 a(n) = Sum_{k>=0} floor(n/(5*k + 1)).

0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 15, 16, 17, 18, 20, 21, 23, 24, 25, 27, 29, 30, 32, 33, 35, 36, 37, 38, 40, 42, 44, 46, 47, 48, 51, 52, 53, 54, 55, 57, 60, 61, 63, 64, 66, 67, 70, 71, 72, 74, 76, 77, 79, 81, 83, 84, 85, 86, 88, 90, 92, 94, 96, 97, 101, 102, 103, 104, 105

Offset

0,3

Comments

Partial sums of A001876.

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Formula

a(n) = Sum_{k>=0} floor(n/(5*k + 1)).

Mathematica

a[n_] := Sum[ Floor[n/(5*k+1)], {k, 0, Ceiling[n/5]}]; Table[a[n], {n, 0, 70}] (* Jean-François Alcover, Feb 22 2013 *)

Prog

(PARI) a(n)=sum(k=0, n, (n\(5*k+1)))
(Maxima) A218444[n]:=sum(floor(n/(5*k+1)), k, 0, n)$
makelist(A218444[n], n, 0, 80); /* Martin Ettl, Oct 29 2012 */

Crossrefs

Cf. A218444, A218445, A218446.

Sequence in context: A055019 A261466 A172152 * A325118 A014122 A324759

Adjacent sequences: A218441 A218442 A218443 * A218445 A218446 A218447

Keyword

nonn

Author

Benoit Cloitre, Oct 28 2012

Status

approved