A277570 Numbers k such that k/6^m == 4 (mod 6), where 6^m is the greatest power of 6 that divides k.

4, 10, 16, 22, 24, 28, 34, 40, 46, 52, 58, 60, 64, 70, 76, 82, 88, 94, 96, 100, 106, 112, 118, 124, 130, 132, 136, 142, 144, 148, 154, 160, 166, 168, 172, 178, 184, 190, 196, 202, 204, 208, 214, 220, 226, 232, 238, 240, 244, 250, 256, 262, 268, 274, 276, 280

Offset

1,1

Comments

Positions of 4 in A277544.

Numbers having 4 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 A277574.

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==4 \\ Charles R Greathouse IV, Nov 03 2016

Crossrefs

Cf. A277544, A277567, A277571, A277574.

Sequence in context: A328986 A277096 A043385 * A310515 A310516 A291745

Adjacent sequences: A277567 A277568 A277569 * A277571 A277572 A277573

Keyword

nonn,easy

Author

Clark Kimberling, Nov 01 2016

Status

approved