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A077054 Number of ways a river can cross a road 2n times. +0
5
1, 1, 3, 14, 81, 538, 3926, 30694, 252939, 2172830, 19304190, 176343390, 1649008456, 15730575554, 152663683494, 1503962954930, 15012865733351, 151622652413194, 1547365078534578, 15939972379349178, 165597452660771610, 1733609081727968492 (list; graph; listen)
OFFSET

0,3

COMMENT

More precisely, number of ways that a river (or directed line) that starts in the South-West and flows East can cross an East-West road 2n times (bisection of A005316).

Also number of ways a loop can cross two parallel roads 2n times. Some portion of loop must lie below lower road.

CROSSREFS

Bisection of A005316. Cf. A005315, A085873, A086031.

Sequence in context: A107596 A000264 A009053 this_sequence A032332 A032080 A020104

Adjacent sequences: A077051 A077052 A077053 this_sequence A077055 A077056 A077057

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com) and Jon Wild (wild(AT)music.mcgill.ca), Nov 29 2002

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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