A178924 Sum_{k>0} (n mod k) * 2^(n-k).

0, 1, 2, 5, 6, 23, 16, 89, 106, 267, 364, 1741, 526, 5135, 9360, 17681, 16914, 99347, 71188, 404501, 372758, 892951, 1763352, 7720985, 2809882, 17154075, 34201628, 82821149, 83623966, 435683359, 189300768, 1452343329, 1695678498, 4418961443, 8835694628

Offset

0,3

Links

Table of n, a(n) for n=0..34.

Maple

a:= n-> add ((n mod k) * 2^(n-k), k=1..n-1) + n:
seq (a(n), n=0..40);

Mathematica

Table[Sum[Mod[n, k] 2^(n-k), {k, 1, Infinity}], {n, 0, 100}]

Crossrefs

Sequence in context: A014454 A136324 A128367 * A303659 A250546 A137067

Adjacent sequences: A178921 A178922 A178923 * A178925 A178926 A178927

Keyword

nonn

Author

Vladimir Reshetnikov, Dec 29 2010

Extensions

Edited by Alois P. Heinz, Dec 29 2010

Status

approved