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Search: id:A049666
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| 0, 1, 11, 122, 1353, 15005, 166408, 1845493, 20466831, 226980634, 2517253805, 27916772489, 309601751184, 3433536035513, 38078498141827, 422297015595610, 4683345669693537, 51939099382224517, 576013438874163224
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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Tanya Khovanova, Recursive Sequences
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FORMULA
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G.f.: x/(1-11*x-x^2).
a(n)=11a(n-1)+a(n-2) for n>1, a(0)=0, a(1)=1. With a=golden ratio and b=1-a, a(n)=(a^(5n)-b^(5n))/(5*Sqrt(5)). - Mario Catalani (mario.catalani(AT)unito.it), Jul 24 2003
a(n)=F(n, 11), the n-th Fibonacci polynomial evaluated at x=11. - T. D. Noe (noe(AT)sspectra.com), Jan 19 2006
((11+sqrt125)^n-(11-sqrt125)^n)/(2^n*sqrt125). Offset 1. a(3)=122 [From Al Hakanson (hawkuu(AT)gmail.com), Jan 12 2009]
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MATHEMATICA
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Table[Fibonacci[5*n]/5, {n, 0, 100}] (T. D. Noe, Oct 29 2009)
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PROGRAM
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(Mupad) numlib::fibonacci(5*n)/5 $ n = 0..25; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 09 2008
sage: from sage.combinat.sloane_functions import recur_gen3 sage: it = recur_gen3(0, 1, 11, 11, 1, 0) sage: [it.next() for i in xrange(1, 22)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 09 2008
(Other) sage: [lucas_number1(n, 11, -1) for n in xrange(0, 19)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 27 2009]
(Other) sage: [fibonacci(5*n)/5 for n in xrange(0, 19)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 15 2009]
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CROSSREFS
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A column of array A028412.
A102312 [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 15 2009]
Sequence in context: A082776 A110398 A067218 this_sequence A163462 A041222 A097708
Adjacent sequences: A049663 A049664 A049665 this_sequence A049667 A049668 A049669
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KEYWORD
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nonn,new
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jan 20 2000
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