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A118113
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Even Fibbinary numbers + 1; also 2*Fibbinary(n) + 1.
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13
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1, 3, 5, 9, 11, 17, 19, 21, 33, 35, 37, 41, 43, 65, 67, 69, 73, 75, 81, 83, 85, 129, 131, 133, 137, 139, 145, 147, 149, 161, 163, 165, 169, 171, 257, 259, 261, 265, 267, 273, 275, 277, 289, 291, 293, 297, 299, 321, 323, 325, 329, 331, 337, 339, 341, 513, 515, 517
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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Solutions to {x : binomial(3x,x) mod (x+1) != 0 } are given in A022341. The corresponding values of binomial(3x,x) mod (x+1) are given here.
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MAPLE
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F:= combinat[fibonacci]:
b:= proc(n) local j;
if n=0 then 0
else for j from 2 while F(j+1)<=n do od;
b(n-F(j))+2^(j-2)
fi
end:
a:= n-> 2*b(n)+1:
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MATHEMATICA
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Select[Table[Mod[Binomial[3*k, k], k+1], {k, 1200}], #>0&]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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