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A159289
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a(n+1) = 5*a(n) - 2*a(n-1)
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0
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5, 21, 95, 433, 1975, 9009, 41095, 187457, 855095, 3900561, 17792615, 81161953, 370224535, 1688798769, 7703544775, 35140126337, 160293542135, 731187458001, 3335350205735, 15214376112673, 69401180151895, 316577148534129
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| G.f.: -(-5+4*x)/(1-5*x+2*x^2). a(n) = 5*A107839(n)-4*A107839(n-1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 10 2009]
a(n)=(5/2)*{[(5/2)+(1/2)*sqrt(17)]^n+[(5/2)-(1/2)*sqrt(17)]^n} +(1/2)*sqrt(17)*{[(5/2)+(1/2)*sqrt(17)]^n-[(5/2)-(1/2)*sqrt(17)]^n}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jul 31 2009]
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CROSSREFS
| A107839
Sequence in context: A103519 A178876 A202513 * A201869 A017968 A017969
Adjacent sequences: A159286 A159287 A159288 * A159290 A159291 A159292
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KEYWORD
| nonn
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AUTHOR
| Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Apr 08 2009
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