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  1. #1
    Eclipse Plugin Developer aphex's Avatar
    Join Date: Mar:2003
    Location: Karlsruhe
    Posts: 546

    + = !

    F_0:=0 ,F_1:=1 , F_n+2:=F_n + F_n+1
    F_m+n = F_m*F_n+1 + F_m-1*Fn


    m,n

    , m n, m+1 i n+1... , !

  2. #2
    Registered User OCFreeze's Avatar
    Join Date: Jul:2004
    Location: Sofia
    Posts: 819
    Quote Originally Posted by aphex View Post
    F_0:=0 ,F_1:=1 , F_n+2:=F_n + F_n+1
    F_m+n = F_m*F_n+1 + F_m-1*Fn


    m,n
    EDIT: .... . ...
    - -> ...

    1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13...
    0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89...

    F_(n+m) = F_(m)*F_(n+1) + F_(m-1)*F_(n)

    n=4, m=5:

    F_(4+5) = F_5*F_5 + F_4*F_4

    F(9) = F_(5)*f_(5) + F_(4)*F_(4)

    13 = 3*3 + 2*2

    EDIT2: .... .

    n=n+1, m=m+1:

    F_(n+m+2) = F_(m+1)*F_(n+2) + F_(m)*F_(n+1)

    F_(4+5+2) = F_(5+1)*F_(4+2) + F_(5)*F_(5)

    F_(11) = F_(6)*F_(6) + F_(5)*F_(5)

    34 = 5*5 + 3*3 = 25 +9

    ... ( ) 2 1 4- .

    F_(13) = F_(7)*F_(7) + F_(6)*F_(6)

    89 = 64 + 25
    -----------------------------------
    Last edited by OCFreeze; 22nd April 2007 at 16:31.

  3. #3
    Eclipse Plugin Developer aphex's Avatar
    Join Date: Mar:2003
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    Posts: 546
    , !

  4. #4
    no brain no pain baracuda's Avatar
    Join Date: Aug:2006
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    ( n=0 ):
    F[m]=F[m]*F[0+1]+F[m-1]*F[0]=F[m]*1+F[m-1]*0=F[m] !
    F[m+1]=F[m]*F[1+1]+F[m-1]*F[1]=F[m]*1+F[m-1]*1=F[m]+F[m-1]=F[m+1] !

    , , :
    F[m+n]=F[m]*F[n+1]+F[m-1]*F[n]

    F[m+n+1]=F[m]*F[n+2]+F[m-1]*F[n+1]
    , n=0 ( ) . F[m+n+2] :
    F[m+n+2]=F[m+n+1]+F[m+n]=(F[m]*F[n+2]+F[m-1]*F[n+1])+(F[m]*F[n+1]+F[m-1]*F[n])=F[m]*(F[n+2]+F[n+1])+F[m-1]*(F[n+1]+F[n])=F[m]*F[n+3]+F[m-1]*F[n+2]
    .

  5. #5
    Registered User OCFreeze's Avatar
    Join Date: Jul:2004
    Location: Sofia
    Posts: 819
    baracuda... . .
    ... HDD-.

  6. #6
    Eclipse Plugin Developer aphex's Avatar
    Join Date: Mar:2003
    Location: Karlsruhe
    Posts: 546
    baracuda, ! ! !

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