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Revision History for A252259 (Underlined text is an addition; strikethrough text is a deletion.)

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A252259 Number of (n+2) X (3+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 0 2 3 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 0 2 3 6 or 7.
(history; published version)
#8 by Joerg Arndt at Mon Dec 03 06:25:40 EST 2018
STATUS

reviewed

approved

#7 by Michel Marcus at Mon Dec 03 06:10:42 EST 2018
STATUS

proposed

reviewed

#6 by Colin Barker at Mon Dec 03 05:54:14 EST 2018
STATUS

editing

proposed

#5 by Colin Barker at Mon Dec 03 05:53:54 EST 2018
NAME

Number of (n+2)) X( (3+2) 0..3 arrays with every 3 X 3X33 subblock row and column sum not equal to 0 2 3 6 or 7 and every 3 X 3X33 diagonal and antidiagonal sum equal to 0 2 3 6 or 7.

COMMENTS

Column 3 of A252260

FORMULA

Empirical: a(n) = a(n-1) +) + 6*a(n-3) -) - 6*a(n-4) -) - 8*a(n-6) +) + 8*a(n-7) for n>12.

Empirical g.f.: x*(965 - 403*x + 34*x^2 - 5608*x^3 + 2900*x^4 + 172*x^5 + 7470*x^6 - 4654*x^7 + 34*x^8 - 376*x^9 + 440*x^10 - 968*x^11) / ((1 - x)*(1 - 2*x^3)*(1 - 4*x^3)). - Colin Barker, Dec 03 2018

EXAMPLE

Some solutions for n=4:

CROSSREFS

Column 3 of A252260.

STATUS

approved

editing

#4 by R. H. Hardin at Tue Dec 16 07:42:43 EST 2014
STATUS

editing

approved

#3 by R. H. Hardin at Tue Dec 16 07:42:39 EST 2014
LINKS

R. H. Hardin, <a href="/A252259/b252259.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Tue Dec 16 07:42:22 EST 2014
NAME

allocated for R. H. Hardin

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 3 6 or 7

DATA

965, 562, 596, 778, 1260, 1636, 2478, 3940, 5958, 9178, 14534, 22666, 35250, 55690, 88338, 138082, 217874, 348706, 546498, 861730, 1385538, 2174338, 3427394, 5523586, 8674050, 13670530, 22057218, 34649602, 54604034, 88154626, 138505218

OFFSET

1,1

COMMENTS

Column 3 of A252260

FORMULA

Empirical: a(n) = a(n-1) +6*a(n-3) -6*a(n-4) -8*a(n-6) +8*a(n-7) for n>12

EXAMPLE

Some solutions for n=4

..2..2..0..2..2....2..1..2..2..0....3..3..2..0..3....2..2..1..2..2

..3..3..2..3..3....3..2..3..3..2....2..2..0..2..2....3..3..2..3..3

..3..3..2..3..3....3..2..3..3..2....3..3..2..3..3....3..3..2..3..3

..2..2..0..2..2....2..1..2..2..0....3..3..2..3..3....2..2..0..2..2

..3..3..2..3..3....3..2..3..3..2....2..2..0..2..2....3..3..2..3..3

..3..3..2..3..3....3..2..3..3..2....3..0..2..3..3....0..3..2..3..3

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Dec 16 2014

STATUS

approved

editing

#1 by R. H. Hardin at Tue Dec 16 07:37:55 EST 2014
NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved

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Last modified August 29 01:19 EDT 2024. Contains 375509 sequences. (Running on oeis4.)