A363854 Number of divisors of 7*n-2 of form 7*k+6.

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

Offset

1,8

Comments

Also number of divisors of 7*n-2 of form 7*k+2.

Links

Table of n, a(n) for n=1..100.

Formula

a(n) = A363795(7*n-2) = A363808(7*n-2).

G.f.: Sum_{k>0} x^(2*k)/(1 - x^(7*k-1)).

G.f.: Sum_{k>0} x^(6*k-4)/(1 - x^(7*k-5)).

Mathematica

a[n_] := DivisorSum[7*n - 2, 1 &, Mod[#, 7] == 6 &]; Array[a, 100] (* Amiram Eldar, Jun 25 2023 *)

Prog

(PARI) a(n) = sumdiv(7*n-2, d, d%7==6);

Crossrefs

Cf. A361691, A363855, A363856, A363857, A363858.

Cf. A363795, A363808.

Sequence in context: A178111 A178112 A324852 * A353967 A035169 A340728

Adjacent sequences: A363851 A363852 A363853 * A363855 A363856 A363857

Keyword

nonn

Author

Seiichi Manyama, Jun 24 2023

Status

approved