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1, 1, 1, 2, 2, 2, 4, 4, 4, 8, 8, 8, 16, 16, 16, 32, 32, 32, 64, 64, 64, 128, 128, 128, 256, 256, 256, 512, 512, 512, 1024, 1024, 1024, 2048, 2048, 2048, 4096, 4096, 4096, 8192, 8192, 8192, 16384, 16384, 16384, 32768, 32768, 32768, 65536, 65536, 65536, 131072, 131072
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OFFSET
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1,4
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COMMENTS
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Triplicated A000079. Powers of 2 repeated 3 times.
a(n) is the number of ways of partitioning the set of the first n distinct positive Fibonacci numbers into two subsets whose sums differ at most by 1. a(6) = 2: 1,2,5,8/3,13; 1,2,13/3,5,8. - Alois P. Heinz, Jun 16 2019
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LINKS
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FORMULA
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G.f. x*(1 + x + x^2)/(1 - 2*x^3). - R. J. Mathar, Nov 28 2011
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MATHEMATICA
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Flatten[Table[c=2^n; {c, c, c}, {n, 0, 20}]] (* Harvey P. Dale, Jul 20 2012 *)
CoefficientList[Series[x*(1 + x + x^2)/(1 - 2*x^3), {x, 0, 50}], x] (* G. C. Greubel, Apr 30 2017 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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