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Re: [PrimeNumbers] sequence.

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  • Décio Luiz Gazzoni Filho
    ... There seems to be a definite pattern to the parity of n*f(n). Try to work from there and see what you can prove about your sequence. Décio [Non-text
    Message 1 of 3 , Mar 4, 2005
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      On Friday 04 March 2005 15:33, you wrote:
      > Define sequence a(n+1)=n*f(n)+a(n), a(1)=2, f(n) is nth term of
      > fibonacci sequence. The first few terms are 2,3,7,13,25,73...........
      > Notice that all terms except 25 are primes. I think that other terms
      > of the sequence are even so I think there will be no more primes. What
      > do you think?

      There seems to be a definite pattern to the parity of n*f(n). Try to work from
      there and see what you can prove about your sequence.

      Décio


      [Non-text portions of this message have been removed]
    • Trey G
      For... f( 1): 1 f( 2): 1 f( 3): 2 f( 4): 3 f( 5): 5 f( 6): 8 f( 7): 13 f( 8): 21 f( 9): 34 f(10): 55 I get... a( 1): 2 a( 2): 3 a( 3): 5 a( 4): 11 a( 5): 23 a(
      Message 2 of 3 , Mar 5, 2005
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        For...

        f( 1): 1
        f( 2): 1
        f( 3): 2
        f( 4): 3
        f( 5): 5
        f( 6): 8
        f( 7): 13
        f( 8): 21
        f( 9): 34
        f(10): 55

        I get...

        a( 1): 2
        a( 2): 3
        a( 3): 5
        a( 4): 11
        a( 5): 23
        a( 6): 48
        a( 7): 96
        a( 8): 187
        a( 9): 355
        a(10): 661

        .....

        --- mcnamara_gio <mcnamara_gio@...> wrote:
        >
        > Define sequence a(n+1)=n*f(n)+a(n), a(1)=2, f(n) is
        > nth term of
        > fibonacci sequence. The first few terms are
        > 2,3,7,13,25,73...........
        > Notice that all terms except 25 are primes. I think
        > that other terms
        > of the sequence are even so I think there will be no
        > more primes. What
        > do you think?
        >
        >
        >
        >




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