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A128656 Number of polygons on n vertices with four faces such that the source of the polygon lies on exactly two faces. 0
2, 8, 44, 240, 1248, 6224, 30052, 141536, 653744, 2973072, 13351192, 59333408, 261378944, 1142885664, 4965331028, 21452209600, 92230169232, 394819386896, 1683663903016, 7155148746912, 30313584232640, 128067598573408 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

LINKS

T. Mansour and S. Severini, Grid polygons from permutations and their enumeration by the kernel method

FORMULA

a(n) = 2(n+2) * 4^(n-3) - 2*(n+1) * C(2*n-4,n-3).

CROSSREFS

Sequence in context: A018985 A018986 A192469 * A047851 A177260 A121747

Adjacent sequences:  A128653 A128654 A128655 * A128657 A128658 A128659

KEYWORD

nonn

AUTHOR

Ralf Stephan, May 08 2007

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Last modified February 16 04:47 EST 2012. Contains 205860 sequences.