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

1,1

Comments

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

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

Links

Table of n, a(n) for n=1..70.

Eric Weisstein's World of Mathematics, Zeckendorf Representation

Example

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);

Crossrefs

Cf. A000045.

Sequence in context: A059139 A329740 A110669 * A101159 A339948 A270136

Adjacent sequences: A106024 A106025 A106026 * A106028 A106029 A106030

Keyword

nonn

Author

Reinhard Zumkeller, May 05 2005

Status

approved