A132104 Number of distinct Tsuro tiles which are square and have Q points per side.

1, 2, 30, 1447, 257107, 81898020, 39531524384, 26682303327353, 23987350539183237, 27705387002314059046, 39978873351170263411714, 70482753710219315731386411, 149071024096816130023228547735, 372528489217914304271725034290952, 1085920546070218942128273877774286532, 3651950796434146162433577686485443037885

Offset

0,2

Comments

Turning over is allowed.

See A132100 for definition and comments.

Links

Table of n, a(n) for n=0..15.

Maple

# B(n, m) gives the number of n-sided tiles with m points per side, allowing reflections (cf. comments in A132100)
with(numtheory): a:=(p, r)->piecewise(p mod 2 = 1, p^(r/2)*doublefactorial(r-1), sum(p^j*binomial(r, 2*j)*doublefactorial(2*j - 1), j = 0 .. floor(r/2)));
B := (n, m)->piecewise(n*m mod 2=1, 0, add(phi(p)*a(p, m*n/p), p in divisors(n))/(2*n) + piecewise(m mod 2=0, a(2, m*n/2)*2, a(2, m*n/2)+a(2, m*n/2-1))/4);
A132104 := m -> B(4, m); [seq(A132104(m), m=1..15)]; # Laurent Tournier, Jul 09 2014

Crossrefs

Cf. A132100-A132105, A007769, A001147, A054499.

Sequence in context: A089016 A364504 A262004 * A208093 A144501 A198861

Adjacent sequences: A132101 A132102 A132103 * A132105 A132106 A132107

Keyword

nonn

Author

Keith F. Lynch, Oct 31 2007

Extensions

More terms from Laurent Tournier, Jul 09 2014

Status

approved