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Revision History for A220561

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Number of ways to reciprocally link elements of an nX7 array either to themselves or to exactly one horizontal or antidiagonal neighbor
(history; published version)
#4 by R. H. Hardin at Sun Dec 16 05:50:24 EST 2012
STATUS

editing

approved

#3 by R. H. Hardin at Sun Dec 16 05:50:20 EST 2012
LINKS

R. H. Hardin, <a href="/A220561/b220561.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Sun Dec 16 05:50:01 EST 2012
NAME

allocated for R. H. Hardin

Number of ways to reciprocally link elements of an nX7 array either to themselves or to exactly one horizontal or antidiagonal neighbor

DATA

21, 1544, 101052, 6743873, 449429440, 29955561052, 1996515036228, 133064181801048, 8868465829053416, 591065515195237024, 39393331961841054032, 2625486595153945514656, 174983417444316851450400

OFFSET

1,1

COMMENTS

Column 7 of A220562

FORMULA

Empirical: a(n) = 85*a(n-1) -1330*a(n-2) +7350*a(n-3) -15316*a(n-4) +12720*a(n-5) -3168*a(n-6) for n>9

EXAMPLE

Some solutions for n=3 0=self 3=ne 4=w 6=e 7=sw (reciprocal directions total 10)

..0..0..0..0..0..7..0....0..0..0..0..7..6..4....0..0..0..0..0..6..4

..0..6..4..0..3..6..4....6..4..7..3..0..0..0....6..4..6..4..6..4..0

..6..4..6..4..0..0..0....0..3..0..6..4..0..0....6..4..0..0..6..4..0

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin Dec 16 2012

STATUS

approved

editing

#1 by R. H. Hardin at Sun Dec 16 05:44:15 EST 2012
NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved