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Search: id:A166865
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| 0, 1, 1, 4, 7, 16, 31, 64, 127, 256, 511, 1024, 2047, 4096, 8191, 16384
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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Binomial transform of itself signed (0,1,-1,4,-7,).Inverse binomial transform unsigned. See A000045,A001045,A113405,(0,0,A000975),A140428,Bernoulli A164555/A027642. First differences: 1,0,3,3,9,15,33=A166265 (Jacobsthal).
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FORMULA
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a(n)=2a(n-1)+a(n-2)-2a(n-3), n grth 3.See A001045,A140359;principal sequence is 0,A000975. (Recurrence in A051049 not valuable) .Also explicit formula from A000225(n-1) or A131577.
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CROSSREFS
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Sequence in context: A025619 A093210 A133600 this_sequence A051049 A108122 A027609
Adjacent sequences: A166862 A166863 A166864 this_sequence A166866 A166867 A166868
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KEYWORD
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nonn,uned
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Oct 22 2009
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