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Search: id:A087161
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| A087161 |
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Records in A087159: A087159(a(n))=n, and satisfies recurrence: a(n+3)=5a(n+2)-6a(n+1)+2a(n), with a(1)=1, a(2)=2, a(3)=4. |
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+0
3
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| 1, 2, 4, 10, 30, 98, 330, 1122, 3826, 13058, 44578, 152194, 519618, 1774082, 6057090, 20680194, 70606594, 241065986, 823050754, 2810071042, 9594182658, 32756588546, 111837988866, 381838778370, 1303679135746, 4451038986242
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Binomial transform of A001333 (with extra leading 1 - the expansion of (1-x-2x^2)/(1-2x-x^2)). - Paul Barry (pbarry(AT)wit.ie), Aug 26 2003
Partial sums of binomial transform of Pell(n-1). - Paul Barry (pbarry(AT)wit.ie), Apr 24 2004
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FORMULA
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G.f. (1-3x)/(1-5x+6x^2-2x^3).
a(n)=((2-sqrt(2))^(n)/(1-sqrt(2))+(2+sqrt(2))^(n)/(1+sqrt(2)))/2+2 (offset 0) - Paul Barry (pbarry(AT)wit.ie), Aug 26 2003
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CROSSREFS
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Cf. A087159, A087160.
Cf. A000129.
Equals 2 + 2*A007070(n-3), n>2.
Sequence in context: A102667 A026119 A003289 this_sequence A007558 A094957 A000733
Adjacent sequences: A087158 A087159 A087160 this_sequence A087162 A087163 A087164
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Aug 22 2003
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EXTENSIONS
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More terms from Paul Barry (pbarry(AT)wit.ie), Apr 24 2004
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