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A001882
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a(2n)=a(2n-1)+2a(2n-2), a(2n+1)=a(2n)+a(2n-1).
(Formerly M0730 N0273)
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2
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2, 3, 5, 11, 16, 38, 54, 130, 184, 444, 628, 1516, 2144, 5176, 7320, 17672, 24992, 60336, 85328, 206000, 291328, 703328, 994656, 2401312, 3395968, 8198592, 11594560
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| Problem E1738, Amer. Math. Monthly, 72 (1965), 1024-1025.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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MAPLE
| A001882:=-(-2-3*z+3*z**2+z**3)/(1-4*z**2+2*z**4); [S. Plouffe in his 1992 dissertation for offfset 0.]
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CROSSREFS
| Cf. A161941 (bisection).
Sequence in context: A137692 A004680 A004690 * A044042 A175179 A040060
Adjacent sequences: A001879 A001880 A001881 * A001883 A001884 A001885
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Removed the attribute "conjectured" from the Plouffe g.f R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 17 2009
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