A358813 - OEIS

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A358813

Number of spanning trees in C_8 X C_n.

8, 5326848, 205683135000, 3771854305099776, 53095647535975155240, 665880333340217184000000, 7871822605982542067643202616, 89927963805390785392395474173952, 1005049441217682470864686231147005000

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..9.

Eric Weisstein's World of Mathematics, Spanning Tree

Eric Weisstein's World of Mathematics, Torus Grid Graph

PROG

(PARI) default(realprecision, 120);

T(n, k) = round(n*k*prod(a=1, n-1, prod(b=1, k-1, 4*sin(a*Pi/n)^2+4*sin(b*Pi/k)^2)));

a(n) = T(8, n);

CROSSREFS

Row 8 of A212796.

Sequence in context: A003836 A218429 A223937 * A072315 A145233 A076916

Adjacent sequences: A358810 A358811 A358812 * A358814 A358815 A358816

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Dec 02 2022

STATUS

approved