A277596 Numbers k such that k/10^m == 9 mod 10, where 10^m is the greatest power of 10 that divides n.

9, 19, 29, 39, 49, 59, 69, 79, 89, 90, 99, 109, 119, 129, 139, 149, 159, 169, 179, 189, 190, 199, 209, 219, 229, 239, 249, 259, 269, 279, 289, 290, 299, 309, 319, 329, 339, 349, 359, 369, 379, 389, 390, 399, 409, 419, 429, 439, 449, 459, 469, 479, 489, 490

Offset

1,1

Comments

Positions of 9 in A065881.

Numbers having 9 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==9 \\ Charles R Greathouse IV, Jan 31 2017

Crossrefs

Cf. A277588-A277595.

Sequence in context: A011539 A088479 A043525 * A031499 A017377 A363060

Adjacent sequences: A277593 A277594 A277595 * A277597 A277598 A277599

Keyword

nonn,easy,base

Author

Clark Kimberling, Nov 07 2016

Status

approved