A023753 Plaindromes: numbers whose digits in base 12 are in nondecreasing order.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 39, 40, 41, 42, 43, 44, 45, 46, 47, 52, 53, 54, 55, 56, 57, 58, 59, 65, 66, 67, 68, 69, 70, 71, 78, 79, 80, 81, 82, 83, 91, 92, 93, 94, 95, 104

Offset

1,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Mathematica

Select[Range[0, 104], LessEqual@@IntegerDigits[#, 12]&] (* Ray Chandler, Jan 06 2014 *)
Select[Range[0, 120], Min[Differences[IntegerDigits[#, 12]]]>-1&] (* Harvey P. Dale, Jul 10 2023 *)

Prog

(PARI) is(n)=vecsort(n=digits(n, 12))==n
for(n=0, 2, forvec(d=vector(n, i, [1, 11]), print1(fromdigits(d, 12)", "), 1)) \\ M. F. Hasler, May 05 2020
(Python)
from itertools import count, islice, combinations_with_replacement
def A023753_gen(): # generator of terms
    yield 0
    yield from (int(''.join(c), 12) for l in count(1) for c in combinations_with_replacement('123456789ab', l))
A023753_list = list(islice(A023753_gen(), 30)) # Chai Wah Wu, Apr 08 2025

Crossrefs

Cf. A000225, A023745, ..., A023757 (nondecreasing digits in base 2, 3, ..., 16).

Cf. A023758, A023759, ..., A023771 (nonincreasing digits in base 2, 3, ..., 16).

Sequence in context: A361232 A027855 A031996 * A035332 A318536 A048991

Adjacent sequences: A023750 A023751 A023752 * A023754 A023755 A023756

Keyword

nonn,base,easy

Author

Olivier Gérard

Extensions

Change offset to 1 by Ray Chandler, Jan 06 2014

Status

approved