A070285 - OEIS

%I #16 Sep 08 2022 08:45:05

%S 1,12,432,32000,4050000,784147392,215886856192,80244904034304,

%T 38742048900000000,23579476910000000000,17665746626579203620864,

%U 15979082092619945289449472,17171174753799627467382181888,21626132883476724540000000000000,31553580184752881664000000000000000

%N a(n) = n^(n-2) * (n-1)^(n-1).

%C Number of spanning trees in the bipartite graph K(n,n-1).

%D J. J. Sylvester, On the change of systems of independent variables, Quarterly Journal of Mathematics, i. (1857), pp. 42-56; Collected Mathematical Papers, Volume 2, Cambridge (1908), pp. 65-85, see page 76.

%H Vincenzo Librandi, <a href="/A070285/b070285.txt">Table of n, a(n) for n = 2..100</a>

%p A070285:=n->n^(n-2) * (n-1)^(n-1); seq(A070285(n), n=2..15); # _Wesley Ivan Hurt_, Feb 26 2014

%t Table[n^(n - 2)*(n - 1)^(n - 1), {n, 2, 15}]

%o (Magma) [n^(n-2) * (n-1)^(n-1): n in [2..20]]; // _Vincenzo Librandi_, Mar 04 2014

%Y Cf. A068087.

%K nonn

%O 2,2

%A Sharon Sela (sharonsela(AT)hotmail.com), May 10 2002

%E Edited by _Robert G. Wilson v_, May 14 2002

%E More terms from _Vincenzo Librandi_, Mar 04 2014