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

1,1

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.

Formula

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

Mathematica

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

Crossrefs

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

Sequence in context: A068653 A225193 A102616 * A255846 A076023 A163629

Adjacent sequences: A291904 A291905 A291906 * A291908 A291909 A291910

Keyword

nonn,base

Author

Richard Ehrenborg, Sep 05 2017

Status

approved