A277568 Numbers k such that k/6^m == 2 (mod 6), where 6^m is the greatest power of 6 that divides k.

2, 8, 12, 14, 20, 26, 32, 38, 44, 48, 50, 56, 62, 68, 72, 74, 80, 84, 86, 92, 98, 104, 110, 116, 120, 122, 128, 134, 140, 146, 152, 156, 158, 164, 170, 176, 182, 188, 192, 194, 200, 206, 212, 218, 224, 228, 230, 236, 242, 248, 254, 260, 264, 266, 272, 278

Offset

1,1

Comments

Positions of 2 in A277544.

Numbers having 2 as rightmost nonzero digit in base 6. This is one sequence in a 5-way splitting of the positive integers; the other four are indicated in the Mathematica program. Every term is even; see A277572.

Links

Clark Kimberling, Table of n, a(n) for n = 1..10000

Formula

a(n) = 5n + O(log n). - Charles R Greathouse IV, Nov 03 2016

Mathematica

z = 260; a[b_] := Table[Mod[n/b^IntegerExponent[n, b], b], {n, 1, z}]
p[b_, d_] := Flatten[Position[a[b], d]]
p[6, 1] (* A277567 *)
p[6, 2] (* A277568 *)
p[6, 3] (* A277569 *)
p[6, 4] (* A277570 *)
p[6, 5] (* A277571 *)

Prog

(PARI) is(n)=(n/6^valuation(n, 6))%6==2 \\ Charles R Greathouse IV, Nov 03 2016

Crossrefs

Cf. A277544, A277567, A277569, A277572.

Sequence in context: A005796 A086173 A108725 * A108059 A276932 A340969

Adjacent sequences: A277565 A277566 A277567 * A277569 A277570 A277571

Keyword

nonn,easy

Author

Clark Kimberling, Nov 01 2016

Status

approved