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Search: id:A081662
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| A081662 |
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Partial sums of n+F(n+1). |
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+0
2
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| 1, 3, 7, 13, 22, 35, 54, 82, 124, 188, 287, 442, 687, 1077, 1701, 2703, 4316, 6917, 11116, 17900, 28866, 46598, 75277, 121668, 196717, 318135, 514579, 832417, 1346674, 2178743, 3525042, 5703382, 9227992, 14930912, 24158411, 39088798
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n)=(1-2sqrt(5)/5)(sqrt(5)/2-1/2)^n(-1)^n+(sqrt(5)/2+1/2)^n(2sqrt(5)/5+1)+(n^2+n-2)/2 G.f.: (x^3+x-1)/((1-x)^3(x^2+x-1))
Row sums of triangle A132923, = binomial transform of (1, 2, 2, 0, 1, -1, 2, -3, 5, -8,...). - Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 05 2007
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CROSSREFS
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Cf. A081659, A000045.
Cf. A132923.
Adjacent sequences: A081659 A081660 A081661 this_sequence A081663 A081664 A081665
Sequence in context: A078582 A051336 A002623 this_sequence A091652 A134197 A053001
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 26 2003
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