A374395 - OEIS

%I #10 Jul 13 2024 11:10:17

%S 0,0,0,1,0,2,2,0,1,3,3,4,0,2,2,5,6,5,7,7,0,1,3,3,4,8,10,10,8,9,11,11,

%T 12,0,2,2,5,6,5,7,7,13,14,16,16,17,13,15,15,18,19,18,20,20,0,1,3,3,4,

%U 8,10,10,8,9,11,11,12,21,23,23,26,27,26,28,28,21

%N a(n) is the first term in the n-th row of A374394.

%C a(n) is the least number z >= 0 such that the Zeckendorf representations of z and n-z have no common Fibonacci numbers and when combined together correspond to the lazy Fibonacci representation of n.

%H Rémy Sigrist, <a href="/A374395/b374395.txt">Table of n, a(n) for n = 0..10944</a>

%H Rémy Sigrist, <a href="/A374395/a374395.gp.txt">PARI program</a>

%H <a href="/index/Z#Zeckendorf">Index entries for sequences related to Zeckendorf expansion of n</a>

%F a(n) = A022290(A374355(1+A003754(n)), k).

%F a(n) = n - A374396(n).

%o (PARI) \\ See Links section.

%Y Cf. A003754, A022290, A374355, A374394, A374396.

%K nonn,base

%O 0,6

%A _Rémy Sigrist_, Jul 10 2024