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Search: id:A116903
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A116903 Seaweeds(n): number of n-step self-avoiding walks on upper two quadrants grid starting at origin. +0
2
1, 3, 7, 19, 49, 131, 339, 899, 2345, 6199, 16225, 42811, 112285, 296051, 777411, 2049025, 5384855, 14190509, 37313977, 98324565, 258654441, 681552747, 1793492411 (list; graph; listen)
OFFSET

0,2

COMMENT

These walks remind me of fluctuant seaweeds anchored to the sea bottom.

EXAMPLE

The 19 seaweeds of length 3. X marks the origin = anchor point.

........................................................

O-O-O...O-O.. .O-O...O-O....O..O-O-O...O......O..O-O....

....|.....|.. .|.....|......|..|.......|......|....|....

....X...X-O....O.....O-X....O..X..O-O..O-O....O....O-X..

...............|............|.......|....|....|.........

O-O.....O-O....X....O.......O..O....O....X..X-O.......O.

|.|.....|...........|.......|..|....|.................|.

X.O...X-O.....O-O...O-O-X...X..O....X.....O.........O-O.

..............|.|..............|..........|.........|...

..X-O-O-O.....O.X...O-O-O-X....O-X....X-O-O.........X...

........................................................

CROSSREFS

Cf. A001411, A038373, A116903.

Sequence in context: A061646 A017926 A017927 this_sequence A087224 A078059 A018031

Adjacent sequences: A116900 A116901 A116902 this_sequence A116904 A116905 A116906

KEYWORD

nonn

AUTHOR

Giovanni Resta (g.resta(AT)iit.cnr.it), Feb 15 2006

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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