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A234109 Number of (n+1)X(3+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12 1
604, 2086, 7732, 31740, 133592, 581756, 2579864, 11668144, 53568572, 249460672, 1175604808, 5599740628, 26917300840, 130423880304, 636253911500, 3122059019144, 15395831214880, 76242558388636, 378912184523832 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A234114

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 7*a(n-1) +60*a(n-2) -438*a(n-3) -1782*a(n-4) +12360*a(n-5) +35330*a(n-6) -205978*a(n-7) -512290*a(n-8) +2229224*a(n-9) +5503649*a(n-10) -16243635*a(n-11) -43372518*a(n-12) +79850408*a(n-13) +248228062*a(n-14) -254990128*a(n-15) -1024802383*a(n-16) +454865089*a(n-17) +3032850159*a(n-18) -63270053*a(n-19) -6374308278*a(n-20) -1896654228*a(n-21) +9366697820*a(n-22) +5199067584*a(n-23) -9374661980*a(n-24) -7431981604*a(n-25) +6110120008*a(n-26) +6536677712*a(n-27) -2372079792*a(n-28) -3650095360*a(n-29) +416839296*a(n-30) +1285380768*a(n-31) +31536704*a(n-32) -277159232*a(n-33) -25366784*a(n-34) +34816896*a(n-35) +3406336*a(n-36) -2369024*a(n-37) -107520*a(n-38) +69632*a(n-39) -4096*a(n-40)

EXAMPLE

Some solutions for n=5

..1..1..4..1....0..1..1..1....3..4..3..0....1..4..1..4....3..4..4..4

..4..4..1..0....1..4..4..4....3..0..3..0....1..4..1..0....3..0..4..0

..1..1..4..1....4..1..1..1....0..3..4..3....1..0..1..4....0..3..3..3

..0..4..1..4....1..0..4..0....3..0..3..0....1..4..1..4....3..4..0..4

..4..4..1..4....4..1..1..1....3..4..3..4....0..1..0..1....0..3..3..3

..0..4..1..4....1..0..4..0....0..3..0..3....4..1..4..1....3..0..0..0

CROSSREFS

Sequence in context: A151626 A031792 A020383 * A321269 A234343 A234338

Adjacent sequences:  A234106 A234107 A234108 * A234110 A234111 A234112

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 19 2013

STATUS

approved

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Last modified December 1 04:32 EST 2021. Contains 349426 sequences. (Running on oeis4.)