A240757 Number of n X 3 0..3 arrays with no element equal to one plus the sum of elements to its left or zero 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.

11, 9, 19, 24, 25, 35, 45, 76, 117, 180, 265, 365, 533, 786, 1220, 1796, 2728, 4087, 6140, 9060, 13625, 20484, 30734, 46161, 69561, 104127, 156807, 235060, 353693, 530499, 798289, 1200045, 1804325, 2711062, 4074989, 6123683, 9207099, 13837742

Offset: 1

Author

R. H. Hardin, Apr 12 2014

Keywords

• nonn

Comments

Column 3 of A240760.

Examples

			Some solutions for n=4
..2..2..2....2..2..2....2..2..2....3..1..3....2..1..1....3..1..3....2..2..2
..3..3..1....3..3..1....3..1..3....2..2..2....3..3..2....2..2..2....3..3..1
..2..0..2....2..2..2....2..0..2....3..1..2....2..1..2....2..1..3....2..2..2
..2..0..2....2..1..3....2..0..1....2..1..2....2..0..2....2..1..2....2..1..2
		

Links

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

Crossrefs

Cf. A240760.

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>84.