(In reply to
re: computer solution.....yes,but... by Ady TZIDON)
The text does define S(x) for non-positive x, and the evaluation is not recursive, but direct.
for x = -2, x+1 = -1, x-1 = -3
S(-3) = ((5 + sqrt(17))/4)^-6 + ((5 - sqrt(17))/4)^-6
~= 0.00710401270584942 + 9008.99289598726
~= 9009 (actually exactly equal S(-3)
Similarly
S(-2) = ((5 + sqrt(17))/4)^-4 + ((5 - sqrt(17))/4)^-4
= 433
S(-1) = ((5 + sqrt(17))/4)^-2 + ((5 - sqrt(17))/4)^-2
= 21
(4*21 + 9009) / 433 = 21
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Posted by Charlie
on 2016-10-22 08:50:05 |
re(2): computer solution.....yes,but...
