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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. 1

%I #34 Jun 14 2020 00:00:13

%S 2,4,6,8,12,16,32,36,44,52,56,72,76,88,92,96,112,144,232,272,336,344,

%T 544,552,616,656,696,744,776,888,944,992,1616,1888,2112,2272,2992,

%U 3232,3344,3888,4144,4544,4944,5552,5888,6336,6656,7744,7776,7888,9696,9888

%N 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.

%C 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)."

%C Subsequence of A050622. - _Michel Marcus_, May 07 2014

%H Ray Chandler, <a href="/A241882/b241882.txt">Table of n, a(n) for n = 1..10000</a>

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

%o (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

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

%K base,nonn

%O 1,1

%A _J. Lowell_, Apr 30 2014

%E More terms from _Michel Marcus_, May 02 2014

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)