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A147613
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Numbers that are not Jacobsthal numbers.
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2
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2, 4, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77
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OFFSET
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1,1
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COMMENTS
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The nonnegative integers not occurring in A001045.
The formula below is a consequence of the Lambek-Moser theorem.
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LINKS
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FORMULA
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a(n) = floor(-LambertW(-1, -(1/3)*log(2)*2^(3/2-n))/log(2) + 1/2). - Nicolas Normand (Nicolas.Normand(at)polytech.univ-nantes.fr), Nov 29 2017
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MAPLE
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a:=proc(n) floor(-LambertW(-1, -1/3*ln(2)*2^(3/2-n))/ln(2)+1/2) end:
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MATHEMATICA
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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