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/prog/ Challenge #2022.1.17: Chad Fibonacci

Name: Anonymous 2022-01-28 18:57

Write a program that computes the nth Fibonacci number in less then linear time.

Name: Anonymous 2022-02-01 4:36

1,1,2,3,5, 8 = z
z = y + x = 2x + w = 3w + 2v = 5v + 3u
y = x + w = 2w + v = 3v + 2u
x = w + v
w = v + u
v = 1
u = 1

z+1 = 8(z-4) + 5(z-5)
z = 5(z-4) + 3(z-5)

Name: Anonymous 2022-02-01 10:22

z+n = fib(n)z + fib(n-1)(z-1)
z+n-1 = fib(n-1)(z-1) + fib(n-2)(z-2)

Name: Anonymous 2022-02-01 10:44

8*8 + 5*5, 5*5 + 3*3 = 64+25, 25+9 = 89, 34
8,13,21,34,55,89

z+n-2

Name: Anonymous 2022-02-02 6:11

1,1,2,3,5, 8, 13,21,34,55, 89, 144, 233,
1,2,3,4,5, 6, 7, 8, 9,10, 11, 12, 13,


13^2 + 8^2 = 233? = t[13]
13*8 + 8*5 = 18*8 = 144 = t[12]
t[7]*t[6] + t[6]*t[5] = t[12]
t[8]^2 + t[7]^2 = t[13]

t[n+1]*t[n] + t[n]*t[n-1] = t[2n]
t[n+1]^2 + t[n]^2 = t[2n-1]

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