A106027 - OEIS

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A106027

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

1

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

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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

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