A125290 Numbers with at least two distinct digits in decimal representation, none of which is 0.

12, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27, 28, 29, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 43, 45, 46, 47, 48, 49, 51, 52, 53, 54, 56, 57, 58, 59, 61, 62, 63, 64, 65, 67, 68, 69, 71, 72, 73, 74, 75, 76, 78, 79, 81, 82, 83, 84, 85, 86, 87, 89, 91, 92, 93, 94, 95, 96, 97, 98, 112, 113, 114, 115, 116, 117, 118, 119, 121, 122, 123

Offset

1,1

Comments

Also numbers having at least two partitions into digit values of their decimal representations: A061827(a(n)) > 1.

First differs from A101594 at a(83) = 123 != 131 = A101594(83). - Michael S. Branicky, Dec 13 2021

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Index entries for 10-automatic sequences.

Formula

A043537(A004719(a(n))) > 1.

A168046(a(n)) * A043537(A004719(a(n))) > 1. - Reinhard Zumkeller, Jun 18 2013

a(n) ~ n. - Charles R Greathouse IV, Feb 13 2017

Mathematica

Select[Range[200], FreeQ[#, 0] && Length[Union[#]] > 1 & [IntegerDigits[#]] &] (* Paolo Xausa, May 06 2024 *)

Prog

(Haskell)
a125290 n = a125290_list !! (n-1)
a125290_list = filter ((> 1) . a043537) a052382_list
-- Reinhard Zumkeller, Jun 18 2013
(Python)
def ok(n): s = set(str(n)); return len(s) >= 2 and "0" not in s
print([k for k in range(124) if ok(k)]) # Michael S. Branicky, Dec 13 2021

Crossrefs

Subsequence of A052382. Supersequence of A101594.

Cf. A125293, A004719, A043537, A061827, A168046.

Sequence in context: A071955 A267760 A261921 * A101594 A162792 A297272

Adjacent sequences: A125287 A125288 A125289 * A125291 A125292 A125293

Keyword

nonn,base,easy

Author

Reinhard Zumkeller, Nov 26 2006

Extensions

Name clarified by Michael S. Branicky, Dec 13 2021

Status

approved