A157893 Values of m in A080075.

1, 2, 3, 2, 4, 3, 5, 3, 4, 3, 6, 4, 5, 4, 7, 4, 5, 4, 6, 4, 5, 4, 8, 5, 6, 5, 7, 5, 6, 5, 9, 5, 6, 5, 7, 5, 6, 5, 8, 5, 6, 5, 7, 5, 6, 5, 10, 6, 7, 6, 8, 6, 7, 6, 9, 6, 7, 6, 8, 6, 7, 6, 11, 6, 7, 6, 8, 6, 7, 6, 9, 6, 7, 6, 8, 6, 7, 6, 10, 6, 7, 6, 8, 6, 7, 6, 9, 6, 7, 6, 8, 6, 7, 6, 12, 7, 8, 7, 9, 7, 8, 7, 10

Offset

1,2

Links

Michael De Vlieger, Table of n, a(n) for n = 1..10000

Amelia Carolina Sparavigna, Discussion of the groupoid of Proth numbers (OEIS A080075), Politecnico di Torino, Italy (2019).

Mathematica

Select[Table[Append[QuotientRemainder[#1, 2^#2], #2] & @@ {#, IntegerExponent[#, 2]} &[n - 1], {n, 3, 5200, 2}], And[OddQ[#[[1]] ], #[[-1]] >= 1, 2^#[[-1]] > #[[1]] ] &][[All, -1]] (* Michael De Vlieger, Nov 04 2019 *)

Prog

(PARI) a(n) = n++; my(L = logint(n, 2), A = bittest(n, L-1)); L + A + valuation(n - 1 << (L - !A), 2) \\ Mikhail Kurkov, Mar 15 2024

Crossrefs

Cf. A157892 (values of k in A080075), A080075 (Proth numbers).

Sequence in context: A366280 A317765 A318153 * A331253 A264116 A361000

Adjacent sequences: A157890 A157891 A157892 * A157894 A157895 A157896

Keyword

nonn

Author

Zak Seidov, Mar 08 2009

Status

approved