Search: id:A014010
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%I A014010
%S A014010 2,6,19,61,196,630,2026,6516,20957,67403,216786,697242,2242518,
%T A014010 7212542,23197479,74609345,239963764,771788146,2482278710,
%U A014010 7983677420,25677658553,82586271223,265619709074,854304581182
%N A014010 Linear recursion relative of Shallit sequence S(2,6).
%D A014010 D. W. Boyd, Some integer sequences related to the Pisot sequences, Acta 
               Arithmetica, 34 (1979), 295-305.
%D A014010 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.
%D A014010 Problem B-686, Fib. Quart., 29 (1991), 85.
%F A014010 a(n) = 3*a(n-1) + a(n-2) - a(n-3) + a(n-4) - 3*a(n-5).
%F A014010 G.f.: (2-x^2-2x^4)/(1-3x-x^2+x^3-x^4+3x^5).
%o A014010 (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))
%Y A014010 There has been some confusion between A018906 and A014010. I think the 
               descriptions are correct now, thanks to Michael Somos
%Y A014010 Different from A022041.
%Y A014010 Sequence in context: A001169 A022041 A018906 this_sequence A022015 A138747 
               A052975
%Y A014010 Adjacent sequences: A014007 A014008 A014009 this_sequence A014011 A014012 
               A014013
%K A014010 nonn
%O A014010 0,1
%A A014010 R. K. Guy

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