A277594 Numbers k such that k/10^m == 7 mod 10, where 10^m is the greatest power of 10 that divides n.

7, 17, 27, 37, 47, 57, 67, 70, 77, 87, 97, 107, 117, 127, 137, 147, 157, 167, 170, 177, 187, 197, 207, 217, 227, 237, 247, 257, 267, 270, 277, 287, 297, 307, 317, 327, 337, 347, 357, 367, 370, 377, 387, 397, 407, 417, 427, 437, 447, 457, 467, 470, 477, 487

Offset

1,1

Comments

Positions of 7 in A065881.

Numbers having 7 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==7 \\ Charles R Greathouse IV, Jan 31 2017

Crossrefs

Cf. A277588-A277593, A277595-A277596.

Sequence in context: A011537 A283610 A043517 * A160912 A017353 A147089

Adjacent sequences: A277591 A277592 A277593 * A277595 A277596 A277597

Keyword

nonn,easy,base

Author

Clark Kimberling, Nov 07 2016

Status

approved