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Search: id:A090732
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| A090732 |
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a(n) = 24a(n-1) - a(n-2), starting with a(0) = 2 and a(1) = 24. |
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+0 2
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| 2, 24, 574, 13752, 329474, 7893624, 189117502, 4530926424, 108553116674, 2600743873752, 62309299853374, 1492822452607224, 35765429562720002, 856877487052672824, 20529294259701427774, 491846184745781593752
(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)
Zerinvary Lajos, Sage Notebooks
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FORMULA
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a(n) = p^n + q^n, where p = 12 + sqrt(143) and q = 12 - sqrt(143). - Tanya Khovanova (tanyakh(AT)yahoo.com), Feb 06 2007
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MATHEMATICA
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a[0] = 2; a[1] = 24; a[n_] := 24a[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, 24, 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. A056949.
Cf. A077424.
Sequence in context: A046744 A000186 A012113 this_sequence A014298 A090316 A128578
Adjacent sequences: A090729 A090730 A090731 this_sequence A090733 A090734 A090735
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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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