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Search: id:A090730
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| A090730 |
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a(n) = 22a(n-1) - a(n-2), starting with a(0) = 2 and a(1) = 22. |
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+0
2
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| 2, 22, 482, 10582, 232322, 5100502, 111978722, 2458431382, 53973511682, 1184958825622, 26015120652002, 571147695518422, 12539234180753282, 275292004281053782, 6043884860002429922, 132690174915772404502
(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) = p^n + q^n, where p = 11 + 2sqrt(30) and q = 11 - 2sqrt(30). - Tanya Khovanova (tanyakh(AT)yahoo.com), Feb 06 2007
G.f.: (2-22*x)/(1-22*x+x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 18 2008]
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MATHEMATICA
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a[0] = 2; a[1] = 22; a[n_] := 22a[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, 22, 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. A008951, A016005, A001613.
Sequence in context: A013519 A084949 A137076 this_sequence A090313 A110129 A120419
Adjacent sequences: A090727 A090728 A090729 this_sequence A090731 A090732 A090733
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KEYWORD
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easy,nonn,new
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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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