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 A241351 Number of n X 3 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of 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
 4, 9, 19, 55, 72, 124, 243, 370, 695, 956, 1417, 2469, 3404, 5728, 8713, 12387, 19273, 29598, 44909, 73642, 107481, 163546, 255220, 378761, 599088, 925233, 1374249, 2146719, 3251091, 4948266, 7795540, 11712323, 17982730, 27767716, 41826534 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Column 3 of A241356. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = 3*a(n-5) +4*a(n-6) +5*a(n-8) +2*a(n-9) +16*a(n-11) +3*a(n-13) +6*a(n-14) -10*a(n-15) -22*a(n-16) -2*a(n-17) -13*a(n-18) +26*a(n-19) -18*a(n-20) +18*a(n-21) -49*a(n-22) -2*a(n-23) -21*a(n-24) +18*a(n-25) +22*a(n-26) +61*a(n-27) -62*a(n-28) -13*a(n-29) -102*a(n-30) -32*a(n-31) +71*a(n-32) +43*a(n-33) +30*a(n-34) +53*a(n-35) -34*a(n-36) -204*a(n-37) +137*a(n-38) -22*a(n-39) +80*a(n-40) +108*a(n-41) +118*a(n-42) -242*a(n-43) +150*a(n-44) -100*a(n-45) +49*a(n-46) -3*a(n-47) +176*a(n-48) -162*a(n-49) +87*a(n-50) -118*a(n-51) +40*a(n-52) -89*a(n-53) +74*a(n-54) -11*a(n-55) +4*a(n-56) -65*a(n-57) +62*a(n-58) -91*a(n-59) +20*a(n-60) -22*a(n-61) +38*a(n-62) -20*a(n-63) +21*a(n-64) -19*a(n-65) +7*a(n-66) -5*a(n-67) +2*a(n-68) for n>85. EXAMPLE Some solutions for n=4 ..3..2..2....3..2..2....3..2..3....2..3..3....3..2..2....3..2..3....3..2..3 ..3..1..2....3..1..2....3..1..1....2..1..1....3..1..1....3..1..2....3..2..2 ..2..3..3....2..3..2....2..3..3....3..2..2....2..3..3....2..3..3....2..3..3 ..3..1..2....2..1..1....3..0..2....2..1..2....3..0..1....2..1..2....3..1..2 CROSSREFS Cf. A241356. Sequence in context: A326340 A183304 A359278 * A023377 A187408 A211055 Adjacent sequences: A241348 A241349 A241350 * A241352 A241353 A241354 KEYWORD nonn AUTHOR R. H. Hardin, Apr 20 2014 STATUS approved

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Last modified November 29 20:40 EST 2023. Contains 367447 sequences. (Running on oeis4.)