cp's OEIS Frontend

A215345 Value of y in the n-th number of the form x+y*(1+sqrt(5))/2.

%I A215345 #20 Aug 21 2021 21:59:32
%S A215345 0,0,1,0,1,0,2,1,0,2,1,3,0,2,1,3,0,2,4,1,3,0,2,4,1,3,0,5,2,4,1,3,0,5,
%T A215345 2,4,1,6,3,0,5,2,4,1,6,3,0,5,2,7,4,1,6,3,0,5,2,7,4,1,6,3,8,0,5,2,7,4,
%U A215345 1,6,3,8,0,5,2,7,4,9,1,6,3,8,0,5,2,7,4,9,1,6,3,8,0,5,10,2,7,4,9,1,6,3,8,0,5,10,2,7,4,9,1,6,11,3,8
%N A215345 Value of y in the n-th number of the form x+y*(1+sqrt(5))/2.
%C A215345 Let x>=0, y>=0 be integers, sort according to x+y*(1+sqrt(5))/2, this sequence gives the y-values. - _Joerg Arndt_, Aug 16 2012
%H A215345 Peter G. Anderson, <a href="/A215345/b215345.txt">Table of n, a(n) for n = 1..1571</a>
%e A215345 Let g = (1+sqrt(5))/2, sequences A215344 (x) and A215345 (y) start as:
%e A215345 [x+y*g, x, y]
%e A215345 [0.0000000, 0, 0]
%e A215345 [1.0000000, 1, 0]
%e A215345 [1.6180340, 0, 1]
%e A215345 [2.0000000, 2, 0]
%e A215345 [2.6180340, 1, 1]
%e A215345 [3.0000000, 3, 0]
%e A215345 [3.2360680, 0, 2]
%e A215345 [3.6180340, 2, 1]
%e A215345 [4.0000000, 4, 0]
%e A215345 [4.2360680, 1, 2]
%e A215345 [4.6180340, 3, 1]
%e A215345 [4.8541020, 0, 3]
%e A215345 [5.0000000, 5, 0]
%e A215345 [5.2360680, 2, 2]
%e A215345 [5.6180340, 4, 1]
%e A215345 - _Joerg Arndt_, Aug 17 2012.
%o A215345 (PARI) /* see A215344 */
%Y A215345 A215344 is the value of x.
%Y A215345 Cf. A084531, A054065, A194832.
%K A215345 nonn
%O A215345 1,7
%A A215345 _Peter G. Anderson_, Aug 08 2012