A179528 Number of terms of A083207 that are not greater than n.

0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17

Offset

1,12

Comments

Partial sums of A179527: a(n) = SUM(A179527(k): 1<=k<=n);

A179529(n+1) = a(n+12) - a(n).

Links

R. Zumkeller, Table of n, a(n) for n = 1..10000

Peter Luschny, Zumkeller Numbers

Example

a(100)=#{6,12,20,24,28,30,40,42,48,54,56,60,66,70,78,80,84,88,90,96}=20;
a(1000000)=229026, by T. D. Noe.

Mathematica

ZumkellerQ[n_] := Module[{d = Divisors[n], t, ds, x}, ds = Total[d]; If[Mod[ds, 2] > 0, False, t = CoefficientList[Product[1 + x^i, {i, d}], x]; t[[1 + ds/2]] > 0]];
b[n_] := Boole[ZumkellerQ[n]];
Array[b, 100] // Accumulate (* Jean-François Alcover, Apr 30 2017, after T. D. Noe *)

Crossrefs

Sequence in context: A111898 A279041 A072746 * A105390 A347941 A013941

Adjacent sequences: A179525 A179526 A179527 * A179529 A179530 A179531

Keyword

nonn

Author

Reinhard Zumkeller, Jul 19 2010

Status

approved