A243864 Positive integers that do not appear in A243700.

4, 6, 10, 12, 17, 19, 21, 23, 27, 34, 36, 39, 42, 46, 48, 51, 57, 61, 64, 66, 69, 73, 75, 78, 81, 83, 85, 90, 92, 95, 99, 104, 108, 111, 114, 116, 119, 124, 126, 133, 135, 137, 140, 145, 148, 150, 152, 157, 160, 163, 165, 168, 170, 173, 176, 178, 186, 191, 195, 198, 200, 204, 206, 209, 212, 216, 221, 223, 225, 230, 237, 239

Offset: 1

Author

Max Alekseyev, Jun 13 2014

Keywords

• nonn

Comments

A positive integer m belongs to this sequence iff A243700(1) + A243700(2) + ... + A243700(m) is not 0 modulo m.

Based on an analysis by John Pezzullo of the b-file of 30542 terms it appears that a(n) is growing like c*n, where c is approximately 3; see the link. - Alexander R. Povolotsky, Jun 19 2014

Links

• Max Alekseyev, Table of n, a(n) for n = 1..30542 (contains all terms below 10^5)
• Éric Angelini, Franklin Adams-Watters, Max Alekseyev, A. E. Povolotsky, N. J. A. Sloane, and R. G. Wilson v, a(n) divides the sum of the first a(n) terms of T, Various postings to the old Sequence Fans Mailing List, assembled by _N. J. A. Sloane_, Dec 24 2024
• John Pezzullo, Data points approximation analysis.
• Hugo Pfoertner, Table of n, a(n) for n = 1..100000
• Hugo Pfoertner, Plot of a(n) - (3.33879*n^0.998152 + 3.36), fit of 100000 terms.
• Hugo Pfoertner, Plot of a(n) - (3.2418*n^1.00065 + 307.6), fit of 530000 terms.

Crossrefs

Cf. A243700.