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 A240790 Number of n X 3 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or zero 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
 4, 5, 8, 27, 49, 50, 89, 115, 182, 289, 425, 651, 992, 1486, 2255, 3349, 5040, 7706, 11754, 17525, 26365, 39661, 59893, 89903, 135336, 203491, 306233, 460867, 692971, 1040765, 1565790, 2353754, 3540545, 5319995, 8000324, 12027862, 18084789 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 3 of A240792. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 5*a(n-5) +4*a(n-6) +a(n-7) +4*a(n-8) +5*a(n-9) -6*a(n-10) -12*a(n-11) -a(n-12) -13*a(n-13) -16*a(n-14) -7*a(n-15) +13*a(n-16) +2*a(n-17) +20*a(n-18) +24*a(n-19) +15*a(n-20) -3*a(n-21) -2*a(n-22) -20*a(n-23) -44*a(n-24) -11*a(n-25) +9*a(n-26) -82*a(n-27) -30*a(n-28) +19*a(n-29) -21*a(n-30) -108*a(n-31) +132*a(n-32) +43*a(n-33) -68*a(n-34) +17*a(n-35) +171*a(n-36) -171*a(n-37) +66*a(n-38) +206*a(n-39) -46*a(n-40) -124*a(n-41) +214*a(n-42) -29*a(n-43) -283*a(n-44) +123*a(n-45) +129*a(n-46) -251*a(n-47) -6*a(n-48) +164*a(n-49) -17*a(n-50) -121*a(n-51) +216*a(n-52) +51*a(n-53) -79*a(n-54) +40*a(n-55) +58*a(n-56) -21*a(n-57) -16*a(n-58) +32*a(n-59) -3*a(n-60) -47*a(n-61) -29*a(n-62) -9*a(n-63) -2*a(n-64) -11*a(n-65) -2*a(n-66) +10*a(n-67) -6*a(n-69) +12*a(n-70) +3*a(n-71) -4*a(n-72) -3*a(n-73) +3*a(n-74) +a(n-75) -3*a(n-76) for n>87. EXAMPLE Some solutions for n=4: ..3..2..3....3..2..3....3..2..3....3..2..3....3..2..3....3..2..3....3..2..3 ..3..2..3....3..1..3....3..1..3....3..2..3....3..2..1....3..2..1....3..2..3 ..2..2..2....2..1..1....2..2..2....2..2..2....2..0..2....2..2..3....2..2..2 ..2..0..2....2..0..1....3..1..3....3..1..3....2..0..1....2..0..2....2..1..2 CROSSREFS Cf. A240792. Sequence in context: A226795 A113726 A207191 * A229861 A140315 A055497 Adjacent sequences:  A240787 A240788 A240789 * A240791 A240792 A240793 KEYWORD nonn AUTHOR R. H. Hardin, Apr 12 2014 STATUS approved

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Last modified May 30 09:15 EDT 2020. Contains 334712 sequences. (Running on oeis4.)