A165822 - OEIS

A165822

a(n) = the smallest positive integer that, when written in binary, contains both binary n and the binary representation of the n-th Fibonacci number as substrings.

%I #12 Mar 03 2018 09:48:17

%S 1,2,6,12,5,24,29,168,137,442,89,400,233,377,7778,15792,1597,18968,

%T 66899,6765,10946,181551,28657,1483800,206097,121393,458562,317811,

%U 514229,3977768,21540319,2178309,56393249,72811751,9227465,618910128

%N a(n) = the smallest positive integer that, when written in binary, contains both binary n and the binary representation of the n-th Fibonacci number as substrings.

%H Rémy Sigrist, <a href="/A165822/b165822.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = A294977(n, A000045(n)). - _Rémy Sigrist_, Mar 03 2018

%Y Cf. A000045, A165819, A165820, A165821, A294977.

%K base,nonn

%O 1,2

%A _Leroy Quet_, Sep 28 2009

%E More terms from _Carl R. White_, Oct 06 2009