A291907 Numbers such that the nonzero digits in the base 3 expansion consists of two 1s and one 2.

14, 16, 22, 32, 34, 38, 42, 46, 48, 58, 64, 66, 86, 88, 92, 96, 100, 102, 110, 114, 126, 136, 138, 144, 166, 172, 174, 190, 192, 198, 248, 250, 254, 258, 262, 264, 272, 276, 288, 298, 300, 306, 326, 330, 342, 378, 406, 408, 414, 432, 490, 496, 498, 514, 516, 522

Offset: 1

Author

Richard Ehrenborg, Sep 05 2017

Keywords

• nonn
• base

Comments

If k belongs to this sequence, A060350(k) and A291903(k) are divisible by 3.

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000
• Richard Ehrenborg and Alex Happ, On the powers of the descent set statistic, arXiv:1709.00778 [math.CO], 2017.

Crossrefs

Cf. A007089, A023693, A023699, A060350, A291903.

Programs

Mathematica

Select[Range[1000], DigitCount[#, 3, {1, 2}] == {2, 1} &] (* Amiram Eldar, Apr 07 2022 *)

Formula

A023693 INTERSECT A023699. - R. J. Mathar, Nov 10 2017