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Revision History for A232512 (Underlined text is an addition; strikethrough text is a deletion.)

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A232512 Number of (n+1)X(5+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal
(history; published version)
#4 by R. H. Hardin at Mon Nov 25 06:58:04 EST 2013
STATUS

editing

approved

#3 by R. H. Hardin at Mon Nov 25 06:58:00 EST 2013
LINKS

R. H. Hardin, <a href="/A232512/b232512.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Mon Nov 25 06:57:43 EST 2013
NAME

allocated for R. H. Hardin

Number of (n+1)X(5+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal

DATA

74, 250, 1730, 10118, 64290, 399122, 2523098, 15907690, 100603770, 636270550, 4026503762, 25483526018, 161305309394, 1021070935782, 6463641254302, 40917054779762, 259021102980902, 1639712263959994, 10380090197352550

OFFSET

1,1

COMMENTS

Column 5 of A232515

FORMULA

Empirical: a(n) = 6*a(n-1) +10*a(n-2) -35*a(n-3) -84*a(n-4) -100*a(n-5) +131*a(n-6) +280*a(n-7) +161*a(n-8) -211*a(n-9) -243*a(n-10) -44*a(n-11) +85*a(n-12) -8*a(n-13) -20*a(n-14) -16*a(n-15) +6*a(n-16) +4*a(n-17) -a(n-18) for n>19

EXAMPLE

Some solutions for n=5

..0..1..2..1..0..1....1..0..1..0..1..0....0..1..0..1..0..1....0..1..0..1..2..1

..2..1..2..1..2..1....1..2..1..2..1..0....2..1..2..1..2..1....0..1..2..1..0..1

..0..1..2..1..2..1....1..0..1..0..1..2....0..1..0..1..0..1....0..1..0..1..0..1

..2..1..0..1..0..1....1..0..1..2..1..2....2..1..0..1..2..1....0..1..2..1..2..1

..2..1..2..1..0..1....1..2..1..0..1..0....0..1..2..1..0..1....0..1..0..1..0..1

..0..1..0..1..2..1....1..0..1..0..1..2....0..1..0..1..2..1....0..1..2..1..2..1

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Nov 25 2013

STATUS

approved

editing

#1 by R. H. Hardin at Mon Nov 25 06:46:18 EST 2013
NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved

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Last modified August 30 09:28 EDT 2024. Contains 375532 sequences. (Running on oeis4.)