

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.


0



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
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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

Table of n, a(n) for n=1..52.


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, A053312A053318, A053332A053338, A053376A053380 (sequences whose union is this sequence).
Sequence in context: A242101 A131117 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



