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A240194 Number of 4Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or three plus the sum of the elements diagonally to its northwest, modulo 4 1
4, 27, 138, 771, 5240, 40765, 336257, 2843914, 24331713, 209365217, 1806459338, 15606899530, 134920604706, 1166738652794, 10090988027354, 87282067470301, 754973088693125, 6530482231898003, 56488830699787694, 488631696598081278 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 of A240192

LINKS

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

FORMULA

Empirical: a(n) = 27*a(n-1) -294*a(n-2) +1660*a(n-3) -4909*a(n-4) +4008*a(n-5) +28110*a(n-6) -141830*a(n-7) +316164*a(n-8) -141103*a(n-9) -1161198*a(n-10) +2896480*a(n-11) -1515959*a(n-12) -3659154*a(n-13) +5143300*a(n-14) -13602*a(n-15) -280443*a(n-16) -7998970*a(n-17) +9853042*a(n-18) +2165540*a(n-19) -18119292*a(n-20) +21393552*a(n-21) -1551144*a(n-22) -20485792*a(n-23) +14878784*a(n-24) +4182464*a(n-25) -7981312*a(n-26) +1462784*a(n-27) +1097728*a(n-28) -368640*a(n-29) for n>34

EXAMPLE

Some solutions for n=4

..2..0..0..0....2..0..0..0....2..0..0..0....2..0..0..0....2..0..0..0

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

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

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

CROSSREFS

Sequence in context: A268598 A267886 A034512 * A278358 A274751 A015534

Adjacent sequences:  A240191 A240192 A240193 * A240195 A240196 A240197

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 02 2014

STATUS

approved

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Last modified January 25 00:44 EST 2022. Contains 350565 sequences. (Running on oeis4.)