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Search: id:A125950
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| A125950 |
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a(0) to a(9) = 1; a(n+10) = -a(n+9) + a(n+7) + a(n+6) + a(n+5) + a(n+4) + a(n+3) - a(n+1) - a(n). |
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+0
3
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| 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 10, 11, 13, 16, 18, 22, 25, 30, 35, 41, 49, 57, 67, 79, 93, 109, 129, 151, 178, 209, 246, 290, 340, 401, 471, 554, 652, 767, 902, 1061, 1248, 1468, 1727, 2031, 2390, 2810, 3306, 3889, 4574, 5381, 6329
(list; graph; listen)
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OFFSET
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0,11
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COMMENT
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a(n) = O(n^c), where c is the larger real root of x^10+x^9-x^7-x^6-x^5-x^4-x^3+x+1, 1.176280818..., the smallest known Salem constant.
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REFERENCES
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Wolfram, S., A New Kind of Science. Champaign, IL: Wolfram Media, pp. 82-92, 2002.
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LINKS
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Eric Weisstein's World of Mathematics, MathWorld: Salem Constants
Eric Weisstein's World of Mathematics, MathWorld: Substitution System
Author?, Bulletin (New Series) AMS, The Arithmetic And Geometry Of Salem Numbers
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CROSSREFS
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Cf. Coefficients of Lehmer's polynomial A070178, Inverse of Salem polynomial A029826, Heptic Salem vector Markov sequence A107480, 9th order Fibonacci sequence A127193, 10th order Fibonacci sequence A127194, 11th order Fibonacci sequence A127624.
Sequence in context: A117875 A084840 A029278 this_sequence A052954 A123505 A114920
Adjacent sequences: A125947 A125948 A125949 this_sequence A125951 A125952 A125953
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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), Feb 04 2007
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EXTENSIONS
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Edited by Don Reble (djr(AT)nk.ca), Mar 09 2007
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