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A153338 Number of zig-zag paths from top to bottom of a 2n-1 by 2n-1 square whose color is not that of the top right corner 4
0, 2, 18, 116, 650, 3372, 16660, 79592, 371034, 1697660, 7654460, 34106712, 150499908, 658707896, 2863150440, 12371226064, 53178791162, 227561427612, 969890051884, 4119092850680, 17438036501676, 73611934643368 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

Joseph Myers, BMO 2008--2009 Round 1 Problem 1---Generalisation

FORMULA

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

CROSSREFS

A102699, A153334, A153335, A153336, A153337

Sequence in context: A038721 A064837 A027433 * A007798 A058052 A119578

Adjacent sequences:  A153335 A153336 A153337 * A153339 A153340 A153341

KEYWORD

easy,nonn

AUTHOR

Joseph Myers (jsm(AT)polyomino.org.uk), Dec 24 2008

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Last modified February 14 18:47 EST 2012. Contains 205663 sequences.