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A055317
Number of labeled trees with n nodes and 5 leaves.
1
6, 630, 30240, 1058400, 31752000, 880165440, 23471078400, 616475059200, 16182470304000, 428535787680000, 11519041972838400, 315583670578176000, 8836342776188928000, 253325921601392640000, 7444680145020518400000
OFFSET
6,1
FORMULA
(n!/5!)*Stirling2(n-2, n-5). - Vladeta Jovovic, Jan 28 2004
a(n) = n! * (n-5)^2*(n-4)^2*(n-3)*(n-2)/5760. - Vaclav Kotesovec, Jul 25 2014
MATHEMATICA
Table[n! * (n-5)^2*(n-4)^2*(n-3)*(n-2)/5760, {n, 6, 20}] (* Vaclav Kotesovec, Jul 25 2014 *)
PROG
(Magma) [Factorial(n)*(n-5)^2*(n-4)^2*(n-3)*(n-2)/5760: n in [6..25]]; // Vincenzo Librandi, Jul 25 2014
CROSSREFS
Column 5 of A055314.
Sequence in context: A206458 A265116 A132928 * A321425 A220858 A337652
KEYWORD
nonn
AUTHOR
Christian G. Bower, May 11 2000
STATUS
approved