A240462 - OEIS

A240462

Number of 3Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4

12, 102, 874, 7589, 65723, 568370, 4916340, 42530527, 367908385, 3182471383, 27528807013, 238127592175, 2059829147851, 17817722472564, 154124971684131, 1333195242928609, 11532260863126369, 99755106819505532, 862890740313446216

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OFFSET

1,1

COMMENTS

Row 3 of A240460

LINKS

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

FORMULA

Empirical: a(n) = 18*a(n-1) -105*a(n-2) +200*a(n-3) +242*a(n-4) -2119*a(n-5) +7083*a(n-6) -9004*a(n-7) -24192*a(n-8) +72426*a(n-9) -3118*a(n-10) -103236*a(n-11) -4239*a(n-12) +64281*a(n-13) +119026*a(n-14) -161710*a(n-15) +142844*a(n-16) -25892*a(n-17) -337024*a(n-18) +223288*a(n-19) +175280*a(n-20) -145120*a(n-21) -22528*a(n-22) +23040*a(n-23)

EXAMPLE

Some solutions for n=4

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

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

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

CROSSREFS

Sequence in context: A125375 A217057 A356836 * A126533 A052148 A133384

Adjacent sequences: A240459 A240460 A240461 * A240463 A240464 A240465

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 05 2014

STATUS

approved