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A193348 Number of odd divisors of tau(n). 2

%I #16 Jul 13 2013 12:04:13

%S 1,1,1,2,1,1,1,1,2,1,1,2,1,1,1,2,1,2,1,2,1,1,1,1,2,1,1,2,1,1,1,2,1,1,

%T 1,3,1,1,1,1,1,1,1,2,2,1,1,2,2,2,1,2,1,1,1,1,1,1,1,2,1,1,2,2,1,1,1,2,

%U 1,1,1,2,1,1,2,2,1,1,1,2,2,1,1,2,1,1,1,1,1,2,1,2,1,1,1,2,1,2,2,3

%N Number of odd divisors of tau(n).

%C a(n) = A001227(A000005(n)). [_Reinhard Zumkeller_, Jul 25 2011]

%H Reinhard Zumkeller, <a href="/A193348/b193348.txt">Table of n, a(n) for n = 1..10000</a>

%e a(36) = 3 because tau(36) = 9 and the 3 odd divisors are {1, 3, 9}.

%t f[n_] := Block[{d = Divisors[DivisorSigma[0,n]]}, Count[OddQ[d], True]]; Table[f[n], {n, 80}]

%o (PARI) a(n)=sumdiv(sigma(n,0),d,d%2);

%o (PARI) a(n)=n=numdiv(n);numdiv(n>>valuation(n,2)) \\ _Charles R Greathouse IV_, Jul 30 2011

%Y Cf. A000005.

%K nonn,easy

%O 1,4

%A _Michel Lagneau_, Jul 23 2011

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)