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A130792
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Numbers n whose representation can be split in two parts which can be used as seeds for a Fibonacci-like sequence containing n itself.
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0
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14, 19, 28, 47, 61, 75, 122, 149, 183, 199, 244, 298, 305, 323, 366, 427, 488, 497, 549, 646, 795, 911, 969, 1292, 1301, 1499, 1822, 1999, 2087, 2602, 2733, 2998, 3089, 3248, 3379, 3644, 3903, 4555, 4997, 5204, 5466, 6178, 6377, 6496, 6505, 7288, 7806, 7995
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The 6 members with two digits are also Keith numbers. There are 233 numbers below 10^6 in this sequence.
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EXAMPLE
| 122 can be split in 12 and 2 and the Fibonacci-like sequence,
12,2,14,16,30,46,76,122 contains 122 itself.
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MATHEMATICA
| testQ[n_]:= Block[{x, y, z, p = 10, r = False}, While[p < n, x = Floor[n/p]; y = Mod[n, p]; While[y < n, z = x + y; x = y; y = z]; If[y == n, r = True; Break[]]; p *= 10]; r]; Select[Range[10^4], testQ]
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CROSSREFS
| Cf. A007629A.
Sequence in context: A026287 A028396 A120158 * A121235 A007629 A092768
Adjacent sequences: A130789 A130790 A130791 * A130793 A130794 A130795
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KEYWORD
| base,nonn
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AUTHOR
| Giovanni Resta (g.resta(AT)iit.cnr.it), Aug 20 2007
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