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A100774 2(3^n - 1). +0
1
0, 4, 16, 52, 160, 484, 1456, 4372, 13120, 39364, 118096, 354292, 1062880, 3188644, 9565936, 28697812, 86093440, 258280324, 774840976, 2324522932, 6973568800, 20920706404, 62762119216, 188286357652, 564859072960, 1694577218884 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n) is the number of steps which are made when generating all n-step nonreversing random walks that begin in a fixed point P on a two-dimensional square lattice. To make one step means to move along one edge on the lattice.

FORMULA

a(n)=2*(3^n - 1); a(0)=0, a(n)=4*Sum_{i = 0 to n-1} 3^i for n>0; a(n)=4*A003462

CROSSREFS

Adjacent sequences: A100771 A100772 A100773 this_sequence A100775 A100776 A100777

Sequence in context: A089093 A058234 A007688 this_sequence A107767 A087972 A074409

KEYWORD

easy,nonn

AUTHOR

Pawel P. Mazur (Pawel.Mazur(AT)pwr.wroc.pl), Apr 06 2005

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.


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