A359241 Number of divisors of 5*n-4 of form 5*k+4.

0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 3, 0, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 4, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 4, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0

Offset

1,8

Links

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Formula

a(n) = A001899(5*n-4).

G.f.: Sum_{k>0} x^(4*k)/(1 - x^(5*k-1)).

Mathematica

a[n_] := DivisorSum[5*n-4, 1 &, Mod[#, 5] == 4 &]; Array[a, 100] (* Amiram Eldar, Aug 23 2023 *)

Prog

(PARI) a(n) = sumdiv(5*n-4, d, d%5==4);
(PARI) my(N=100, x='x+O('x^N)); concat([0, 0, 0], Vec(sum(k=1, N, x^(4*k)/(1-x^(5*k-1)))))

Crossrefs

Cf. A359239, A359240.

Cf. A001899.

Sequence in context: A338268 A269243 A036274 * A047753 A303947 A031123

Adjacent sequences: A359238 A359239 A359240 * A359242 A359243 A359244

Keyword

nonn,easy

Author

Seiichi Manyama, Dec 22 2022

Status

approved