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A006237 Complexity of tensor sum of n graphs; or spanning trees on n-cube.
(Formerly M3725)
+0
2
1, 1, 4, 384, 42467328, 20776019874734407680, 1657509127047778993870601546036901052416000000, 153850844349814660487100539994381178281567942393055761257560677644718869248475136000000000000000000000 (list; graph; listen)
OFFSET

0,3

REFERENCES

G. Kreweras, Complexite et circuits Euleriens dans la sommes tensorielles de graphes, J. Combin. Theory, B 24 (1978), 202-212.

R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see Example 5.6.10.

LINKS

Index entries for sequences related to trees

FORMULA

a(n) = 2^(2^n-1-n)*1^binomial(n, 1)*2^binomial(n, 2)*...*n^binomial(n, n).

PROGRAM

(PARI) a(n)=2^(2^n-n-1)*prod(k=1, n, k^binomial(n, k))

CROSSREFS

Cf. A006235.

Sequence in context: A051181 A038015 A003753 this_sequence A116031 A115049 A036771

Adjacent sequences: A006234 A006235 A006236 this_sequence A006238 A006239 A006240

KEYWORD

nonn,easy,nice

AUTHOR

njas, D. E. Knuth

EXTENSIONS

Description expanded 7/95.

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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