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A093129
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Binomial transform of Fib(2n-1) (A001519).
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3
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1, 2, 5, 15, 50, 175, 625, 2250, 8125, 29375, 106250, 384375, 1390625, 5031250, 18203125, 65859375, 238281250, 862109375, 3119140625, 11285156250, 40830078125, 147724609375, 534472656250, 1933740234375, 6996337890625
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| G.f.: (1-3x)/(1-5x+5x^2); a(n)=(5-sqrt(5))((5+sqrt(5))/2)^n/10 + (5+sqrt(5))((5-sqrt(5))/2)^n/10; a(n)=A093123(n)/2^n.
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PROG
| sage: [lucas_number2(n, 5, 5) for n in xrange(-1, 25)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 08 2008
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CROSSREFS
| Cf. A000045.
Cf. A020876. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 05 2008]
Sequence in context: A149946 A149947 A149948 * A020876 A149949 A149950
Adjacent sequences: A093126 A093127 A093128 * A093130 A093131 A093132
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 23 2004
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