A277570 - OEIS

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

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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 *)