A241882 Numbers with d digits that are divisible by 2^d and have at most 2 distinct digits: exactly one even digit and at most one odd digit.

2, 4, 6, 8, 12, 16, 32, 36, 44, 52, 56, 72, 76, 88, 92, 96, 112, 144, 232, 272, 336, 344, 544, 552, 616, 656, 696, 744, 776, 888, 944, 992, 1616, 1888, 2112, 2272, 2992, 3232, 3344, 3888, 4144, 4544, 4944, 5552, 5888, 6336, 6656, 7744, 7776, 7888, 9696, 9888

Offset

1,1

Comments

Union of 20 different sequences, all of which are defined as "a(n) contains n digits (either [any odd digit] or [any nonzero even digit] and is divisible by 2^n)."

Subsequence of A050622. - Michel Marcus, May 07 2014

Links

Ray Chandler, Table of n, a(n) for n = 1..10000

Example

24 is not in the sequence because it has distinct even digits.

Prog

(PARI) isok(n) = {digs = digits(n); d = #digs; if (n % 2^d, return (0)); sd = Set(digs); if (#sd > 2, return (0)); if (#sd < 2, return (1)); ((sd[1] % 2) + (sd[2] % 2)) == 1; } \\ Michel Marcus, May 02 2014

Crossrefs

Cf. A035014, A053312-A053318, A053332-A053338, A053376-A053380 (sequences whose union is this sequence).

Sequence in context: A332290 A332293 A181821 * A238626 A168657 A240498

Adjacent sequences: A241879 A241880 A241881 * A241883 A241884 A241885

Keyword

base,nonn

Author

J. Lowell, Apr 30 2014

Extensions

More terms from Michel Marcus, May 02 2014

Status

approved