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A132104 Number of distinct Tsuro tiles which are square and have Q points per side. 5
1, 2, 30, 1447, 257107, 81898020, 39531524384, 26682303327353, 23987350539183237, 27705387002314059046, 39978873351170263411714, 70482753710219315731386411, 149071024096816130023228547735, 372528489217914304271725034290952, 1085920546070218942128273877774286532, 3651950796434146162433577686485443037885 (list; graph; refs; listen; history; text; internal format)
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: A246741 A089016 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

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Last modified December 9 14:35 EST 2022. Contains 358700 sequences. (Running on oeis4.)