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A241357 Number of 2Xn 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 one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4 1
3, 3, 9, 17, 23, 53, 103, 160, 344, 643, 1059, 2196, 4039, 6930, 13970, 25512, 45059, 88830, 161841, 291573, 565051, 1029968, 1879844, 3596548, 6568902, 12087395, 22908471, 41950860, 77573588, 146021963, 268115989, 497179651, 931373038 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 2 of A241356

LINKS

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

FORMULA

Empirical: a(n) = a(n-2) +8*a(n-3) -5*a(n-5) -18*a(n-6) +a(n-7) +10*a(n-8) +16*a(n-9) -5*a(n-10) -10*a(n-11) +a(n-12) +6*a(n-13) -2*a(n-14) -6*a(n-15) -a(n-16) +6*a(n-17) for n>20

EXAMPLE

Some solutions for n=4

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

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

CROSSREFS

Sequence in context: A331519 A285883 A232948 * A217450 A089892 A038221

Adjacent sequences:  A241354 A241355 A241356 * A241358 A241359 A241360

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 20 2014

STATUS

approved

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Last modified September 23 12:53 EDT 2020. Contains 337310 sequences. (Running on oeis4.)