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A045744 Noncrossing connected graphs on n nodes on a circle and having no four-sided faces. +0
2
1, 4, 22, 141, 988, 7337, 56749, 452332, 3689697, 30652931, 258465558, 2206330790, 19029531220, 165582392070, 1451789520435, 12813638048184, 113755675163767, 1015119850103821, 9100463691522759, 81923222827031025 (list; graph; listen)
OFFSET

2,2

FORMULA

Sum(binomial(n-2+i, i)*binomial(4*n-4-i, n-2-3*i), i=0..floor((n-2)/3))/(n-1)

CROSSREFS

Sequence in context: A002293 A003287 A077056 this_sequence A104991 A027391 A134988

Adjacent sequences: A045741 A045742 A045743 this_sequence A045745 A045746 A045747

KEYWORD

nonn

AUTHOR

Emeric Deutsch (deutsch(AT)duke.poly.edu)

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


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