def testPell(self):
assert series.pell(0) == NULL
assert series.pell(1) == ONE
assert series.pell(2) == 2*x
assert series.pell(3) == 4*x**2 + 1
assert series.pell(4) == 8*x**3 + 4*x
assert series.pell(5) == 16*x**4 + 12*x**2 + 1
def testLucasSequence(self):
l = series.LucasSeq(x, ONE)
l1 = series.LucasSeq(x, ONE, 'w')
l2 = series.LucasSeq(2*x, ONE)
l3 = series.LucasSeq(2*x, ONE, 'w')
l4 = series.LucasSeq(ONE, 2*x)
l5 = series.LucasSeq(ONE, 2*x, 'w')
l6 = series.LucasSeq(3*x, -TWO)
l7 = series.LucasSeq(3*x, -TWO, 'w')
for n in xrange(10):
if n > 0:
l(n) == series.fibonacci(n)
assert l1(n) == series.lucas(n)
assert l2(n) == series.pell(n)
assert l3(n) == series.pell_lucas(n)
assert l4(n) == series.jacobsthal(n)
assert l5(n) == series.jacob_lucas(n)
assert l6(n) == series.fermat(n)
assert l7(n) == series.fermat_lucas(n)