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A214742 Least m>0 such that L(n)-m divides U(n)+m, where L = A000201 and U = A001950 (lower and upper Wythoff sequences). 2

%I

%S 1,3,2,1,1,10,4,13,2,2,9,10,20,3,3,26,10,29,4,4,12,36,13,5,20,42,43,

%T 35,6,49,49,52,7,7,20,28,21,8,8,65,23,68,9,9,72,75,75,10,10,39,29,84,

%U 11,11,31,91,32,12,95,97,98,48,13,50,104,107,14,14,39,91,40,15

%N Least m>0 such that L(n)-m divides U(n)+m, where L = A000201 and U = A001950 (lower and upper Wythoff sequences).

%H Clark Kimberling, <a href="/A214742/b214742.txt">Table of n, a(n) for n = 2..1000</a>

%e Write x#y if x|y is false; then 11#21, 10#22, 9#23, 8|24, so a(8) = 4.

%t r=GoldenRatio;

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

%Y Cf. A214741.

%K nonn,easy

%O 2,2

%A _Clark Kimberling_, Jul 28 2012

%E Typo in name corrected by _Clark Kimberling_, Jul 22 2015

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Last modified January 29 14:23 EST 2020. Contains 331338 sequences. (Running on oeis4.)