

A078643


Numbers with exactly one representation as the sum of two Fibonacci numbers.


0



2, 3, 5, 7, 8, 9, 11, 13, 14, 15, 18, 21, 22, 23, 24, 29, 34, 35, 36, 37, 39, 47, 55, 56, 57, 58, 60, 63, 76, 89, 90, 91, 92, 94, 97, 102, 123, 144, 145, 146, 147, 149, 152, 157, 165, 199, 233, 234, 235, 236, 238, 241, 246, 254, 267, 322, 377, 378, 379, 380, 382, 385
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..62.


EXAMPLE

1000 has exactly one representation as the sum of Fibonacci numbers: 1000 = 13 + 987. Hence 1000 belongs to the sequence.


MATHEMATICA

r = {}; f = Table[Fibonacci[n], {n, 1, 20}]; FibQ[n_] := MemberQ[f, n]; g[n_] := Module[{a, i}, a = {}; u = Floor[n/2]; For[i = 1, i <= u, i++, If[FibQ[i] && FibQ[n  i], a = Append[a, {n, i, n  i}]]]; a]; For[i = 1, i <= 10^3, i++, If[Length[g[i]] == 1, r = Append[r, i]]]; r


CROSSREFS

Sequence in context: A047255 A062062 A256133 * A137698 A063743 A353968
Adjacent sequences: A078640 A078641 A078642 * A078644 A078645 A078646


KEYWORD

nonn


AUTHOR

Joseph L. Pe, Dec 12 2002


STATUS

approved



