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Search: id:A090727
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| A090727 |
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a(n) = 16a(n-1) - a(n-2), starting with a(0) = 2 and a(1) = 16. |
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2
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| 2, 16, 254, 4048, 64514, 1028176, 16386302, 261152656, 4162056194, 66331746448, 1057145886974, 16848002445136, 268510893235202, 4279326289318096, 68200709735854334, 1086932029484351248, 17322711762013765634
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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Tanya Khovanova, Recursive Sequences
Index entries for recurrences a(n) = k*a(n - 1) +/- a(n - 2)
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FORMULA
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a(n) = (8+sqrt(63))^n + (8-sqrt(63))^n. (a(n))^2 =a(2n)+2.
G.f.: (2-16*x)/(1-16*x+x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 02 2008]
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MATHEMATICA
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a[0] = 2; a[1] = 16; a[n_] := 16a[n - 1] - a[n - 2]; Table[ a[n], {n, 0, 15}] (from Robert G. Wilson v Jan 30 2004)
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PROGRAM
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sage: [lucas_number2(n, 16, 1) for n in xrange(0, 20)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 26 2008
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CROSSREFS
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Cf. A080246.
Sequence in context: A009833 A009044 A019318 this_sequence A108242 A140307 A114039
Adjacent sequences: A090724 A090725 A090726 this_sequence A090728 A090729 A090730
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KEYWORD
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easy,nonn
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AUTHOR
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Nikolay V. Kosinov (kosinov(AT)unitron.com.ua), Jan 18 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 30 2004
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