cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A159074 Sum of the k in the range 1<=k<=n such that set of proper divisors of k is not a subset of the set of proper divisors of n.

This page as a plain text file.
%I A159074 #3 Mar 30 2012 19:00:15
%S A159074 1,1,1,1,5,1,11,7,19,24,38,11,50,46,55,67,95,76,113,91,124,150,176,
%T A159074 121,200,221,242,252,306,237
%N A159074 Sum of the k in the range 1<=k<=n such that set of proper divisors of k is not a subset of the set of proper divisors of n.
%C A159074 The nomenclature of A159072 applies, where the terms in that sum are counted.
%F A159074 a(n) = A158976(n) + 1.
%F A159074 If p = prime, a(p) = A000217(p) - A158662(p) + 1 = A000217(p) - A014284[A036234(p)] + 1.
%F A159074 a(n)+A159073(n)=A000217(n). - R. J. Mathar, Apr 06 2009
%e A159074 a(8) = 7 adds k = 6, where {1, 2, 3} is not a subset of the divisor set {1, 2, 4} of n = 8, and k = 1, with an empty proper divisor set.
%Y A159074 Cf.: A158976, A000217, A000040, A014284, A036234.
%K A159074 nonn
%O A159074 1,5
%A A159074 _Jaroslav Krizek_, Apr 04 2009
%E A159074 Edited by _R. J. Mathar_, Apr 06 2009