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A240687 Number of forests with n labeled nodes and 10 trees. 3
1, 55, 2145, 75790, 2637635, 93783690, 3467403940, 134463763720, 5491244257785, 236503301350745, 10742799174110575, 514243815022230930, 25908948794088640280, 1371861202568610407885, 76216658109172817448960, 4435598473883166992187500, 269963484584876515488140800 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 10..200

FORMULA

a(n) = n^(n-20) * (n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(n^9 + 90*n^8 + 4386*n^7 + 149436*n^6 + 3859401*n^5 + 77149170*n^4 + 1176873076*n^3 + 13044397176*n^2 + 94273812000*n + 335221286400)/185794560. - Vaclav Kotesovec, Sep 06 2014

MAPLE

T:= proc(n, m) option remember; `if`(n<0, 0, `if`(n=m, 1,

      `if`(m<1 or m>n, 0, add(binomial(n-1, j-1)*j^(j-2)*

       T(n-j, m-1), j=1..n-m+1))))

    end:

a:= n-> T(n, 10):

seq(a(n), n=10..30);

MATHEMATICA

Table[n^(n-20) * (n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(n^9 + 90*n^8 + 4386*n^7 + 149436*n^6 + 3859401*n^5 + 77149170*n^4 + 1176873076*n^3 + 13044397176*n^2 + 94273812000*n + 335221286400)/185794560, {n, 10, 30}] (* Vaclav Kotesovec, Sep 06 2014 *)

CROSSREFS

Column m=10 of A105599. A diagonal of A138464.

Sequence in context: A321034 A275942 A217758 * A053113 A012048 A215860

Adjacent sequences:  A240684 A240685 A240686 * A240688 A240689 A240690

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Apr 10 2014

STATUS

approved

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Last modified February 26 11:03 EST 2020. Contains 332279 sequences. (Running on oeis4.)