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Search: id:A127624
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| A127624 |
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An 11th order Fibonacci sequence. a(n) = a(n-1) + ... + a(n-11). |
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3
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| 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 21, 41, 81, 161, 321, 641, 1281, 2561, 5121, 10241, 20481, 40951, 81881, 163721, 327361, 654561, 1308801, 2616961, 5232641, 10462721, 20920321, 41830401, 83640321, 167239691, 334397501, 668631281
(list; graph; listen)
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OFFSET
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1,12
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COMMENT
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The ratio a(n+1)/a(n) approaches the unique real root of r^11 = r^10 + ... + r + 1; r is about 1.99951040197828549144.
All terms have last digit 1.
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LINKS
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E. S. Croot, Notes on Linear Recurrence Sequences
M. A. Lerma, Recurrence Relations
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FORMULA
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O.g.f: x*(-1+x^2+2*x^3+3*x^4+4*x^5+5*x^6+6*x^7+7*x^8+8*x^9+9*x^10) / (-1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10+x^11). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 02 2007
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CROSSREFS
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Cf. Fibonacci numbers A000045, tribonacci numbers A000213, tetranacci numbers A000288, pentanacci numbers A000322, hexanacci numbers A000383, 7th order Fibonacci numbers A060455, octanacci numbers.A123526, 9th order Fibonacci sequence A127193, 10th order Fibonacci sequence A127194.
Sequence in context: A146246 A064832 A129638 this_sequence A097616 A146150 A058489
Adjacent sequences: A127621 A127622 A127623 this_sequence A127625 A127626 A127627
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KEYWORD
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nonn
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AUTHOR
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Luis A Restrepo (Luisiii(AT)mac.com), Jan 19 2007
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EXTENSIONS
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Edited by Dean Hickerson (dean(AT)math.ucdavis.edu), Mar 09 2007
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