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A184522 Upper s-Wythoff sequence, where s=5n. Complement of A184523. 4

%I #4 Mar 30 2012 18:57:16

%S 1,2,3,4,5,7,8,9,10,11,13,14,15,16,17,19,20,21,22,23,25,26,27,28,29,

%T 31,32,33,34,35,36,38,39,40,41,42,44,45,46,47,48,50,51,52,53,54,56,57,

%U 58,59,60,62,63,64,65,66,67,69,70,71,72,73,75,76,77,78,79,81,82,83,84,85,87,88,89,90,91,93,94,95,96,97,98,100,101,102,103,104,106,107,108,109,110,112,113,114,115,116,118,119,120,121,122,124,125,126,127,128,129,131,132,133,134,135,137,138,139,140,141,143

%N Upper s-Wythoff sequence, where s=5n. Complement of A184523.

%C See A184117 for the definition of lower and upper s-Wythoff sequences.

%F a(n)=floor[(n/2)(-3+sqrt(29)] (A184522).

%F b(n)=floor[(n/2)(5+sqrt(29)] (A184523).

%t k = 5; r = 0; d = Sqrt[4 + k^2];

%t a[n_] := Floor[(1/2) (d + 2 - k) (n + r/(d + 2))];

%t b[n_] := Floor[(1/2) (d + 2 + k) (n - r/(d + 2))];

%t Table[a[n], {n, 120}]

%t Table[b[n], {n, 120}]

%Y Cf. A184117, A184523.

%K nonn

%O 1,2

%A _Clark Kimberling_, Jan 16 2011

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