A304094 Number of Lucas numbers (A000204: 1, 3, 4, 7, 11, ... excluding 2) that divide n

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

Offset

1,3

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

Formula

a(n) = A304092(n) - A059841(n).

a(n) = A304096(n) + A079978(n) + 1.

Asymptotic mean: Limit_{m->oo} (1/m) * Sum_{k=1..m} a(k) = A093540 = 1.962858... . - Amiram Eldar, Dec 31 2023

Prog

(PARI)
isA000204(n) = { my(u1=1, u2=3, old_u1); if(n<=2, (n%2), while(n>u2, old_u1=u1; u1=u2; u2=old_u1+u2); (u2==n)); };
A304094(n) = sumdiv(n, d, isA000204(d));

Crossrefs

Cf. A000204, A093540, A304092, A304093, A304096.

Cf. also A005086, A300837.

Sequence in context: A173642 A234305 A339701 * A259527 A275992 A271824

Adjacent sequences: A304091 A304092 A304093 * A304095 A304096 A304097

Keyword

nonn

Author

Antti Karttunen, May 13 2018

Status

approved