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A334005 Number of spanning trees in the graph P_10 x P_n. 3

%I #27 May 04 2021 03:11:16

%S 1,151316,9411975375,490179860527896,24080189412483072000,

%T 1154617875754582889149500,54740416599810921320592441119,

%U 2580716459066338161324165906475056,121316352059447360262303173959408358625,5694319004079097795957215725765328371712000

%N Number of spanning trees in the graph P_10 x P_n.

%H Seiichi Manyama, <a href="/A334005/b334005.txt">Table of n, a(n) for n = 1..200</a>

%F See _Peter Bala_'s formula in A116469.

%t a[n_] := Resultant[ChebyshevU[n - 1, x/2], ChebyshevU[9, (4 - x)/2], x]; Array[a, 10] (* _Amiram Eldar_, May 04 2021 *)

%o (PARI) {a(n) = polresultant(polchebyshev(n-1, 2, x/2), polchebyshev(9, 2, (4-x)/2))}

%Y Row m=10 of A116469.

%K nonn

%O 1,2

%A _Seiichi Manyama_, Apr 12 2020

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Last modified May 5 00:21 EDT 2024. Contains 372257 sequences. (Running on oeis4.)