A277590 Numbers k such that k/10^m == 3 mod 10, where 10^m is the greatest power of 10 that divides n.

3, 13, 23, 30, 33, 43, 53, 63, 73, 83, 93, 103, 113, 123, 130, 133, 143, 153, 163, 173, 183, 193, 203, 213, 223, 230, 233, 243, 253, 263, 273, 283, 293, 300, 303, 313, 323, 330, 333, 343, 353, 363, 373, 383, 393, 403, 413, 423, 430, 433, 443, 453, 463, 473

Offset

1,1

Comments

Positions of 3 in A065881.

Numbers having 3 as rightmost nonzero digit in base 10. This is one sequence in a 10-way splitting of the positive integers; the other nine are indicated in the Mathematica program.

Links

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

Mathematica

z = 460; a[b_] := Table[Mod[n/b^IntegerExponent[n, b], b], {n, 1, z}]
p[b_, d_] := Flatten[Position[a[b], d]]
p[10, 1] (* A277588 *)
p[10, 2] (* A277589 *)
p[10, 3] (* A277590 *)
p[10, 4] (* A277591 *)
p[10, 5] (* A277592 *)
p[10, 6] (* A277593 *)
p[10, 7] (* A277594 *)
p[10, 8] (* A277595 *)
p[10, 9] (* A277596 *)

Prog

(PARI) is(n)=n && n/10^valuation(n, 10)%10==3 \\ Charles R Greathouse IV, Jan 31 2017

Crossrefs

Cf. A277588, A277589, A277591-A277596.

Sequence in context: A011533 A277965 A043501 * A062667 A212525 A106099

Adjacent sequences: A277587 A277588 A277589 * A277591 A277592 A277593

Keyword

nonn,easy,base

Author

Clark Kimberling, Nov 05 2016

Status

approved