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Revision History for A227673 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing all changes.
Number of lattice paths from {n}^n to {0}^n using steps that decrement one component by 1 such that for each point (p_1,p_2,...,p_n) we have abs(p_{i}-p_{i+1}) <= 1.
(history; published version)
#6 by Alois P. Heinz at Fri Jul 19 17:22:53 EDT 2013
STATUS

editing

approved

#5 by Alois P. Heinz at Fri Jul 19 17:22:29 EDT 2013
EXAMPLE

a(1) = 1: (1)-(0) . . (1,2) (0,1)

. (1,2) (0,1)

#4 by Alois P. Heinz at Fri Jul 19 17:22:02 EDT 2013
EXAMPLE

a(0) = 1: [()] .

a(1) = 1: [(1),-(0)] . . (1,2) (0,1)

a(2) = 4: [(2,2),(1,2),(1,1),(0,1),(0,0)], [(2,2),(1,2),(1,1),(1,0),(0,0)], [(2,2),(2,1),(1,1),(0,1),(0,0)], [(2,2),(2,1),(1,1),(1,0),(0,0)].

. / \ / \

a(2) = 4: (2,2) (1,1) (0,0) .

. \ / \ /

. (2,1) (1,0)

#3 by Alois P. Heinz at Fri Jul 19 09:41:40 EDT 2013
EXAMPLE

a(0) = 1: [()].

a(1) = 1: [(1),(0)].

a(2) = 4: [(2,2),(1,2),(1,1),(0,1),(0,0)], [(2,2),(1,2),(1,1),(1,0),(0,0)], [(2,2),(2,1),(1,1),(0,1),(0,0)], [(2,2),(2,1),(1,1),(1,0),(0,0)].

#2 by Alois P. Heinz at Fri Jul 19 09:28:04 EDT 2013
NAME

allocated Number of lattice paths from {n}^n to {0}^n using steps that decrement one component by 1 such that for Alois Peach point (p_1,p_2,...,p_n) we have abs(p_{i}-p_{i+1}) <= 1. Heinz

DATA

1, 1, 4, 320, 1281696, 482913033152, 27297846037161958056, 337320253484345016223956919936, 1248760044848501400078426452469652899962528, 1817025580455577353700768095528219275036151622984555026720

OFFSET

0,3

CROSSREFS

Main diagonal of A227655.

KEYWORD

allocated

nonn

AUTHOR

Alois P. Heinz, Jul 19 2013

STATUS

approved

editing

#1 by Alois P. Heinz at Fri Jul 19 09:10:25 EDT 2013
NAME

allocated for Alois P. Heinz

KEYWORD

allocated

STATUS

approved