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Revision History for A218997 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing all changes.
Unmatched value maps: number of n X 3 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..2 n X 3 array.
(history; published version)
#7 by Alois P. Heinz at Tue Jul 24 14:36:30 EDT 2018
STATUS

proposed

approved

#6 by Colin Barker at Tue Jul 24 14:14:14 EDT 2018
STATUS

editing

proposed

#5 by Colin Barker at Tue Jul 24 14:13:41 EDT 2018
NAME

Unmatched value maps: number of nX3 n X 3 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..2 nX3 n X 3 array.

COMMENTS

Column 3 of A219002.

FORMULA

Empirical: a(n) = 4*a(n-1) + 15*a(n-2) + 66*a(n-3) + 63*a(n-4) + 72*a(n-5).

Empirical g.f.: 2*x*(2 + 15*x + 42*x^2 + 54*x^3 + 36*x^4) / (1 - 4*x - 15*x^2 - 66*x^3 - 63*x^4 - 72*x^5). - Colin Barker, Jul 24 2018

EXAMPLE

Some solutions for n=3:

CROSSREFS

Cf. A219002.

AUTHOR

R. H. Hardin , Nov 09 2012

STATUS

approved

editing

#4 by R. H. Hardin at Fri Nov 09 08:35:40 EST 2012
STATUS

editing

approved

#3 by R. H. Hardin at Fri Nov 09 08:35:35 EST 2012
LINKS

R. H. Hardin, <a href="/A218997/b218997.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Fri Nov 09 08:34:30 EST 2012
NAME

allocated for R. H. Hardin

Unmatched value maps: number of nX3 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..2 nX3 array

DATA

4, 46, 328, 2374, 17776, 131548, 973492, 7213582, 53429692, 395740366, 2931304708, 21712231084, 160822807612, 1191219388318, 8823392421952, 65355090312238, 484086844724824, 3585643697043796, 26558954938197124, 196722861904335358

OFFSET

1,1

COMMENTS

Column 3 of A219002

FORMULA

Empirical: a(n) = 4*a(n-1) +15*a(n-2) +66*a(n-3) +63*a(n-4) +72*a(n-5)

EXAMPLE

Some solutions for n=3

..0..1..0....1..1..1....0..1..0....1..0..0....0..0..0....0..1..1....0..0..0

..0..0..1....0..1..0....0..0..0....0..0..1....0..1..1....1..0..0....1..0..1

..1..0..0....1..0..1....0..1..0....1..0..1....1..0..0....0..1..0....0..1..0

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin Nov 09 2012

STATUS

approved

editing

#1 by R. H. Hardin at Fri Nov 09 08:32:21 EST 2012
NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved