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A005672
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Fibonacci(n+1)-2^[n/2].
(Formerly M3253)
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4
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0, 0, 0, 1, 1, 4, 5, 13, 18, 39, 57, 112, 169, 313, 482, 859, 1341, 2328, 3669, 6253, 9922, 16687, 26609, 44320, 70929, 117297, 188226, 309619, 497845, 815656, 1313501, 2145541
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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REFERENCES
| R. K. Guy, personal communication.
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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FORMULA
| a(n) =Fibonacci(n-1)+2*a(n-2), a(-1)=0, a(1)=0, a(2)=1. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 17 2008
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MAPLE
| A005672:=z**3/(z**2+z-1)/(-1+2*z**2); [Conjectured by S. Plouffe in his 1992 dissertation.]
with (combinat):a[ -1]:=0:a[1]:=0:a[2]:=1:for n from 2 to 50 do a[n]:=fibonacci(n-1)+2*a[n-2] od: seq(a[n-1], n=0..31); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 17 2008
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CROSSREFS
| Gives diagonal sums of triangle A054143.
Sequence in context: A083709 A091183 A094029 * A147001 A140683 A071341
Adjacent sequences: A005669 A005670 A005671 * A005673 A005674 A005675
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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