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 A240395 Number of 3 X n 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 two plus the sum of the elements diagonally to its northwest, modulo 4. 1
 2, 12, 32, 62, 118, 206, 351, 568, 882, 1322, 1921, 2716, 3748, 5062, 6707, 8736, 11206, 14178, 17717, 21892, 26776, 32446, 38983, 46472, 55002, 64666, 75561, 87788, 101452, 116662, 133531, 152176, 172718, 195282, 219997, 246996, 276416, 308398 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = (1/6)*n^4 - (5/6)*n^3 + (13/3)*n^2 + (31/3)*n - 48 for n>5. Conjectures from Colin Barker, Oct 27 2018: (Start) G.f.: x*(2 + 2*x - 8*x^2 + 2*x^3 + 18*x^4 - 26*x^5 + 29*x^6 - 29*x^7 + 20*x^8 - 6*x^9) / (1 - x)^5. a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5) for n>10. (End) EXAMPLE Some solutions for n=4: ..3..0..0..0....3..0..0..0....3..0..0..0....3..0..0..0....3..0..0..0 ..1..3..3..0....1..0..0..0....1..0..0..3....1..0..3..3....1..0..3..3 ..3..1..3..2....3..0..2..3....3..0..0..1....3..2..3..2....3..0..2..2 CROSSREFS Row 3 of A240394. Sequence in context: A254962 A139323 A225525 * A009331 A154252 A013198 Adjacent sequences:  A240392 A240393 A240394 * A240396 A240397 A240398 KEYWORD nonn AUTHOR R. H. Hardin, Apr 04 2014 STATUS approved

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Last modified August 16 12:15 EDT 2022. Contains 356168 sequences. (Running on oeis4.)