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Search: id:A014010
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| A014010 |
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Linear recursion relative of Shallit sequence S(2,6). |
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+0
2
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| 2, 6, 19, 61, 196, 630, 2026, 6516, 20957, 67403, 216786, 697242, 2242518, 7212542, 23197479, 74609345, 239963764, 771788146, 2482278710, 7983677420, 25677658553, 82586271223, 265619709074, 854304581182
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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D. W. Boyd, Some integer sequences related to the Pisot sequences, Acta Arithmetica, 34 (1979), 295-305.
D. W. Boyd, Linear recurrence relations for some generalized Pisot sequences, Advances in Number Theory ( Kingston ON, 1991) 333-340, Oxford Sci. Publ., Oxford Univ. Press, New York, 1993.
Problem B-686, Fib. Quart., 29 (1991), 85.
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FORMULA
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a(n) = 3*a(n-1) + a(n-2) - a(n-3) + a(n-4) - 3*a(n-5).
G.f.: (2-x^2-2x^4)/(1-3x-x^2+x^3-x^4+3x^5).
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PROGRAM
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(PARI) a2n=concat([ 2, 6, 19, 61, 196 ], vector(25)); a(n)=a2n[ n+1 ]; for(n=5, 29, a2n[ n+1 ]=3*a(n-1) + a(n-2) - a(n-3) + a(n-4) - 3*a(n-5))
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CROSSREFS
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There has been some confusion between A018906 and A014010. I think the descriptions are correct now, thanks to Michael Somos
Different from A022041.
Adjacent sequences: A014007 A014008 A014009 this_sequence A014011 A014012 A014013
Sequence in context: A001169 A022041 A018906 this_sequence A022015 A138747 A052975
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KEYWORD
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nonn
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AUTHOR
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R. K. Guy
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