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A116489 Number of factorizations of n into odious numbers > 1. 4

%I #9 Mar 27 2021 08:07:26

%S 1,1,0,2,0,0,1,3,0,0,1,0,1,2,0,5,0,0,1,0,1,2,0,0,1,2,0,4,0,0,1,7,0,0,

%T 1,0,1,2,0,0,1,2,0,4,0,0,1,0,2,2,0,4,0,0,1,7,0,0,1,0,1,2,0,11,0,0,1,0,

%U 1,2,0,0,1,2,0,4,1,0,1,0,1,2,0,4,0,0,1,7,0,0,2,0,1,2,0,0,1,4,0,4,0,0,1,7

%N Number of factorizations of n into odious numbers > 1.

%C a(2*n) >= a(n). - _David A. Corneth_, Mar 27 2021

%H David A. Corneth, <a href="/A116489/b116489.txt">Table of n, a(n) for n = 1..10000</a>

%F Dirichlet g.f.: prod{n is in A000069}(1/(1-1/n^s)).

%e a(49) = 2 as 49 = 49*1 = 7*7 and these are all factorizations of 49 into its odious divisors {1, 7, 49}. - _David A. Corneth_, Mar 27 2021

%Y Cf. A000069, A116488, A116490.

%K nonn

%O 1,4

%A _Christian G. Bower_, Feb 17 2006

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)