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Search: id:A035508
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| 0, 2, 7, 20, 54, 143, 376, 986, 2583, 6764, 17710, 46367, 121392, 317810, 832039, 2178308, 5702886, 14930351, 39088168, 102334154, 267914295, 701408732, 1836311902, 4807526975, 12586269024, 32951280098
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OFFSET
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1,2
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REFERENCES
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C. Kimberling, "Interspersions and dispersions," Proceedings of the American Mathematical Society 117 (1993) 313-321.
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LINKS
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C. Kimberling, Interspersions
N. J. A. Sloane, Classic Sequences
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FORMULA
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G.f.: x^2(2-x)/((1-x)(1-3x+x^2)). a(n)=4*a(n-1)-4*a(n-2)+a(n-3). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 15 2008]
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MAPLE
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(Mupad) numlib::fibonacci(2*n)-1 $ n = 1..38; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 08 2008
g:=z/(1-3*z+z^2): gser:=series(g, z=0, 43): seq(abs(coeff(gser, z, n)-1), n=1..26); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 22 2009]
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PROGRAM
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(Other) sage: [lucas_number1(n, 3, 1)-1 for n in xrange(1, 27)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 07 2009]
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CROSSREFS
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a(n)=A001906(n)-1.
With different offset: 2nd row of Inverse Stolarsky array A035507.
Cf. A152891. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 15 2008]
Sequence in context: A050513 A128183 A027418 this_sequence A018033 A000149 A080041
Adjacent sequences: A035505 A035506 A035507 this_sequence A035509 A035510 A035511
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KEYWORD
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nonn,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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