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Least m>0 such that n-m divides L(n)+m, where L = A000201 (lower Wythoff sequence).
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%I #5 Jul 31 2012 18:56:17

%S 1,2,2,4,1,1,3,8,8,4,11,11,2,2,15,6,17,12,7,3,3,3,22,12,9,13,27,4,4,4,

%T 31,31,33,22,34,5,5,5,14,40,41,15,21,6,6,6,23,17,24,32,18,7,7,42,54,

%U 56,57,37,59,8,8,22,63,31,23,32,66,9,9,34,25,72,73,26,10,10,10

%N Least m>0 such that n-m divides L(n)+m, where L = A000201 (lower Wythoff sequence).

%H Clark Kimberling, <a href="/A214741/b214741.txt">Table of n, a(n) for n = 2..1000</a>

%e Write x#y if x|y is false; then 7#13, 6#14, 5|15, so a(8) = 3.

%t r=GoldenRatio;

%t Table[m = 1; While[! Divisible[Floor[n*r]+m, n - m], m++]; m, {n, 2, 100}]

%Y Cf. A214742.

%K nonn,easy

%O 2,2

%A _Clark Kimberling_, Jul 28 2012