A076142 a(n) = A064097(n) - A003313(n).

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2

Offset

1,129

Comments

The positions where k = 0, 1, 2, ... occur for the first time are 1, 23, 129, 517, 2049, 4613, 33097, 33793, ... factorized as: 1, 23, 3*43, 11*47, 3*683, 7*659, 23*1439, 47*719, ... - Antti Karttunen, Aug 18 2017

Links

Antti Karttunen, Table of n, a(n) for n = 1..10000 (also based on the b-file of A003313)

Formula

It seems that sum(k = 1, n, a(k)) * log(n)/n^2 -> c (0.006 < c < 0.01).

Crossrefs

Cf. A003313, A064097, A076091.

Sequence in context: A355437 A071936 A005088 * A084904 A084928 A112316

Adjacent sequences: A076139 A076140 A076141 * A076143 A076144 A076145

Keyword

nonn

Author

Benoit Cloitre, Oct 31 2002

Extensions

Extended to 129 terms by Antti Karttunen, Aug 18 2017

Status

approved