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Search: id:A005673
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| A005673 |
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F(n+1)-2^[ (n+1)/2 ] -2^[ n/2 ] +1.
(Formerly M1578)
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+0
1
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| 0, 0, 0, 0, 1, 2, 6, 11, 24, 42, 81, 138, 250, 419, 732, 1214, 2073, 3414, 5742, 9411, 15664, 25586, 42273, 68882, 113202, 184131, 301428, 489654, 799273, 1297118, 2112774
(list; graph; listen)
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OFFSET
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0,6
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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.
R. K. Guy, personal communication.
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LINKS
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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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FORMULA
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G.f. : x^4/((1-x)(1-x-x^2)(1-2x^2)); a(n)=2a(n-1)+2a(n-2)-5a(n-3)+2a(n-4); a(n+1)=sum{k=0..n, (2^floor(k/2)-1)F(n-k)}. - Paul Barry (pbarry(AT)wit.ie), Jul 28 2004
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MAPLE
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A005673:=-z**4/(z-1)/(z**2+z-1)/(-1+2*z**2); [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Sequence in context: A102429 A080012 A103143 this_sequence A084308 A067605 A072986
Adjacent sequences: A005670 A005671 A005672 this_sequence A005674 A005675 A005676
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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