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A081729
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Expansion of Sum(k>=0, x^(2^k)) + 1/(1+x). First differences of A007456 (gossip sequence) for n>1.
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3
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1, 0, 2, -1, 2, -1, 1, -1, 2, -1, 1, -1, 1, -1, 1, -1, 2, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 2, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 2, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1
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OFFSET
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0,3
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COMMENTS
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For n>1: a(n) = 2, if n is power of 2; a(n) =- 1, if n odd; a(n) = 1 otherwise.
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LINKS
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FORMULA
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MATHEMATICA
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Join[{1, 0}, Table[Which[IntegerQ[Log2[n]], 2, OddQ[n], -1, True, 1], {n, 2, 90}]] (* Harvey P. Dale, Jan 17 2023 *)
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PROG
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(Haskell)
a081729 n = a209229 n + a033999(n)
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CROSSREFS
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KEYWORD
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sign,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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