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A215768 Number of undirected labeled graphs on n nodes with exactly 8 cycle graphs as connected components. 2
1, 36, 750, 12540, 195459, 3057912, 49471708, 835659825, 14779601837, 273850769192, 5313937212402, 107889695430426, 2289283137461287, 50700986253094800, 1170451253565199375, 28127697404018935030, 702741240223958509651, 18230243438652550293450 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 8..170

MAPLE

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

      add(binomial(n-1, i)*T(n-1-i, k-1)*ceil(i!/2), i=0..n-k)))

    end:

a:= n-> T(n, 8):

seq (a(n), n=8..30);

CROSSREFS

Column k=8 of A215771.

Sequence in context: A004329 A089909 A049434 * A320821 A144941 A036084

Adjacent sequences:  A215765 A215766 A215767 * A215769 A215770 A215771

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 23 2012

STATUS

approved

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Last modified February 23 02:29 EST 2019. Contains 320411 sequences. (Running on oeis4.)