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J. James Propp, <a href="http://arxiv.org/abs/math/9904150">Enumeration of Matchings: Problems and Progress</a>, arXiv:math/9904150v2 9904150 [math.CO], 1999.

E. W. Eric Weisstein, 's World of Mathematics, <a href="http://mathworld.wolfram.com/ChebyshevPolynomialoftheSecondKind.html">Chebyshev Polynomial of the second kind</a> MathWorld.

E. W. Eric Weisstein, 's World of Mathematics, <a href="http://mathworld.wolfram.com/FibonacciPolynomial.html">Fibonacci Polynomial</a> MathWorld.

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T(n,k)^2 = absolute value of Prod(ProdProduct_{b=1..k} Product_{a=1..n} ( 2*cos(a*Pi/(n+1)) + 2*i*cos(b*Pi/(k+1)), a = 1..n), b = 1..k), where i = sqrt(-1). See Propp, Section 5.

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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...

1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, ...

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...

1, 0, 3, 0, 11, 0, 41, 0, 153, 0, 571, 0, ...

1, 1, 5, 11, 36, 95, 281, 781, 2245, 6336, 18061, 51205, ...

1, 0, 8, 0, 95, 0, 1183, 0, 14824, 0, 185921, 0, ...

1, 1, 13, 41, 281, 1183, 6728, 31529, 167089, 817991, 4213133, 21001799, ...

1, 0, 21, 0, 781, 0, 31529, 0, 1292697, 0, 53175517, 0, ...

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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...

1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, ...

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...

1, 0, 3, 0, 11, 0, 41, 0, 153, 0, 571, 0, ...

1, 1, 5, 11, 36, 95, 281, 781, 2245, 6336, 18061, 51205, ...

1, 0, 8, 0, 95, 0, 1183, 0, 14824, 0, 185921, 0, ...

1, 1, 13, 41, 281, 1183, 6728, 31529, 167089, 817991, 4213133, 21001799, ...

1, 0, 21, 0, 781, 0, 31529, 0, 1292697, 0, 53175517, 0, ...

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