A106027 Smallest m > n such that the Zeckendorf partition of m contains that of n.

4, 7, 4, 12, 6, 19, 20, 9, 12, 31, 12, 33, 14, 17, 20, 17, 51, 19, 53, 54, 22, 25, 28, 25, 33, 27, 82, 83, 30, 33, 86, 33, 88, 35, 38, 41, 38, 46, 40, 53, 54, 43, 46, 133, 46, 135, 48, 51, 54, 51, 140, 53, 142, 143, 56, 59, 62, 59, 67, 61, 74, 75, 64, 67, 86, 67, 88, 69, 72, 75

Offset: 1

Author

Reinhard Zumkeller, May 05 2005

Keywords

• nonn

Comments

(A003714(a(n)) AND A003714(n)) = A003714(n);

A007895(a(n)) = A007895(n) + 1.

Examples

			25 = 1+3+21 = Fib(2)+Fib(4)+Fib(8) with Fib=A000045,
a(25) = 33 = 1+3+8+21 = Fib(2)+Fib(4)+Fib(6)+Fib(8);
		

Links

• Eric Weisstein's World of Mathematics, Zeckendorf Representation

Crossrefs

Cf. A000045.