Fibbnacci

[y.kohmoto]

    Hello, Seqfans.

    These are generalizations of Fibonacci sequence.
    I considered a sequence on a two dimensional cell space as follows.

  
                        a(7) a(8) a(9) a(10)
                        a(6) a(1) a(2) a(11)
                        a(5) a(4) a(3) a(12)
                        a(16)a(15)a(14)a(13)


    It continues infinitely like a spiral.
       .
    Definition : 
    a(1)=1 , a(n)=a(n-1)+Sum{a(i) , a(i) contacts a(n-1)}
    8 terms around a(m) contact  a(m).
    So,
    a(2)=a(1)                      =1
    a(3)=a(1)+a(2)                 =2
    a(4)=a(1)+a(2)+a(3)            =4
    a(5)=a(1)+a(2)+a(3)+a(4)       =8
    a(6)=a(1)+a(4)+a(5)            =13
    a(7)=a(1)+a(4)+a(5)+a(6)       =26

    a(n) : 1, 1, 2, 4, 8, 13, 26, 40, 81, 123, 205, 412, 620, 1034,
 
    b(m) : 1, 1, 2, 3, 6, 9, 16, 25, 42, 68, 110, 179, 291, 470, 
    4 terms up-down-right-left of b(m) contact b(m).




    c(m) : 0, 1, 1, 2, 4, 6, 12, 18, 37, 56, 94, 189, 
    The same definition as a(n) but a(1)=0, a(2)=1.


                            12 18 37 56
                            6  0  1  94
                            4  2  1  189

    
    Tell me a good description of N line on OEIS for the sequences.

    To Neil : 
    Are they fit to OEIS?

    If you say Yes, then I will format them.
    
    Yasutoshi