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A235065 Number of (n+1)X(2+1) 0..6 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 3, with no adjacent elements equal (constant stress tilted 1X1 tilings) 1
848, 4348, 22936, 125196, 685028, 3780180, 20896656, 116103776, 646515740, 3615891056, 20269554700, 114095152472, 643592714664, 3644779333856, 20679210497560, 117769364855184, 671728722382188, 3845058723067836 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A235071

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) +114*a(n-2) -826*a(n-3) -5390*a(n-4) +40509*a(n-5) +141982*a(n-6) -1101107*a(n-7) -2376591*a(n-8) +18759386*a(n-9) +27110607*a(n-10) -214422274*a(n-11) -218647229*a(n-12) +1714423248*a(n-13) +1266295692*a(n-14) -9847282701*a(n-15) -5264745392*a(n-16) +41312388336*a(n-17) +15449236953*a(n-18) -127755960707*a(n-19) -30541686755*a(n-20) +292034903938*a(n-21) +35307790177*a(n-22) -491841781764*a(n-23) -7382786774*a(n-24) +604462209267*a(n-25) -48701691090*a(n-26) -533018275889*a(n-27) +88708374022*a(n-28) +328737830185*a(n-29) -79723218859*a(n-30) -136723211260*a(n-31) +42223796030*a(n-32) +36429154260*a(n-33) -13346749528*a(n-34) -5768901376*a(n-35) +2417530544*a(n-36) +474735456*a(n-37) -225680256*a(n-38) -14561280*a(n-39) +8110080*a(n-40)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A203335 A252253 A247532 * A268112 A194618 A252546

Adjacent sequences:  A235062 A235063 A235064 * A235066 A235067 A235068

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 03 2014

STATUS

approved

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Last modified December 1 05:20 EST 2021. Contains 349426 sequences. (Running on oeis4.)