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Revision History for A233911

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Number of (n+1)X(2+1) 0..7 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 30, and no two adjacent values equal
(history; published version)
#4 by R. H. Hardin at Tue Dec 17 16:10:43 EST 2013
STATUS

editing

approved

#3 by R. H. Hardin at Tue Dec 17 16:10:40 EST 2013
LINKS

R. H. Hardin, <a href="/A233911/b233911.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Tue Dec 17 16:10:25 EST 2013
NAME

allocated for R. H. Hardin

Number of (n+1)X(2+1) 0..7 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 30, and no two adjacent values equal

DATA

640, 3944, 22632, 138132, 807964, 4908404, 28936484, 175407492, 1039210048, 6291984872, 37411050288, 226333090864, 1349436837188, 8159273967724, 48752105141528, 294639966341512, 1763518515517052, 10653925639599432

OFFSET

1,1

COMMENTS

Column 2 of A233917

FORMULA

Empirical: a(n) = 4*a(n-1) +122*a(n-2) -461*a(n-3) -6376*a(n-4) +22883*a(n-5) +188152*a(n-6) -648596*a(n-7) -3478827*a(n-8) +11715412*a(n-9) +42308852*a(n-10) -142371381*a(n-11) -345931578*a(n-12) +1197824103*a(n-13) +1908669954*a(n-14) -7078856586*a(n-15) -6995027392*a(n-16) +29551303874*a(n-17) +16143386244*a(n-18) -87052258170*a(n-19) -19433628990*a(n-20) +179619345422*a(n-21) -2128109482*a(n-22) -255775086626*a(n-23) +46189589396*a(n-24) +245226941694*a(n-25) -73044737386*a(n-26) -152167442028*a(n-27) +56827325500*a(n-28) +57294922304*a(n-29) -23672423108*a(n-30) -11706249412*a(n-31) +4940867468*a(n-32) +1040756704*a(n-33) -439680112*a(n-34) -20118176*a(n-35) +11155520*a(n-36) -250624*a(n-37) -14592*a(n-38)

EXAMPLE

Some solutions for n=4

..2..0..2....2..6..2....0..4..3....1..4..1....6..5..6....0..1..0....0..3..7

..5..4..1....4..7..5....2..1..5....5..6..2....4..1..4....3..5..3....4..5..4

..2..0..2....2..6..2....6..3..2....1..3..1....3..5..3....0..1..0....6..2..6

..1..4..1....5..7..4....5..1..5....5..6..5....4..1..4....3..5..2....7..5..7

..5..3..5....6..3..2....3..4..6....7..3..7....3..5..3....7..4..6....3..6..3

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Dec 17 2013

STATUS

approved

editing

#1 by R. H. Hardin at Tue Dec 17 16:08:09 EST 2013
NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved