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A363887 Number of divisors of 7*n-5 of form 7*k+3. 1

%I #11 Jun 26 2023 06:33:16

%S 0,1,0,0,2,0,0,2,0,0,2,0,0,2,1,0,2,0,0,2,0,0,2,0,2,2,0,0,2,0,0,2,0,0,

%T 4,0,0,2,0,0,2,1,0,2,2,0,2,0,0,2,0,0,2,0,2,2,0,0,4,0,0,2,0,0,4,0,0,2,

%U 0,0,2,0,0,2,2,2,2,0,0,2,0,0,3,0,2,2,0,0,2,0,0,2,2,0,4,0,0,2,0,0

%N Number of divisors of 7*n-5 of form 7*k+3.

%F a(n) = A363805(7*n-5).

%F G.f.: Sum_{k>0} x^(3*k-1)/(1 - x^(7*k-4)).

%t a[n_] := DivisorSum[7*n - 5, 1 &, Mod[#, 7] == 3 &]; Array[a, 100] (* _Amiram Eldar_, Jun 26 2023 *)

%o (PARI) a(n) = sumdiv(7*n-5, d, d%7==3);

%Y Cf. A363852, A363857, A363888.

%Y Cf. A363805.

%K nonn

%O 1,5

%A _Seiichi Manyama_, Jun 26 2023

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Last modified July 18 18:59 EDT 2024. Contains 374388 sequences. (Running on oeis4.)