A196015 Number of n X 6 0..4 arrays with each element equal to the number its horizontal and vertical neighbors within one of itself.

1, 5, 16, 91, 316, 708, 3572, 14607, 54710, 196832, 782926, 3062632, 11714725, 44732791, 173085686, 668753382, 2573295221, 9902406595, 38178807169, 147173375542, 566944981911, 2184078533126, 8416292695545, 32431165832934

Offset: 1

Author

R. H. Hardin, Sep 26 2011

Keywords

• nonn

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..200

Crossrefs

Column 6 of A196017.

Formula

Empirical: a(n) = a(n-1) +7*a(n-2) +11*a(n-3) +44*a(n-4) -24*a(n-5) -237*a(n-6) -250*a(n-7) -219*a(n-8) +211*a(n-9) +584*a(n-10) -127*a(n-11) +1087*a(n-12) +2905*a(n-13) +2083*a(n-14) +1536*a(n-15) +22*a(n-16) -2414*a(n-17) -3256*a(n-18) -2665*a(n-19) -3346*a(n-20) +8268*a(n-21) +11410*a(n-22) -14170*a(n-23) +13403*a(n-24) -38028*a(n-25) -27873*a(n-26) +9341*a(n-27) -22367*a(n-28) +21475*a(n-29) -13978*a(n-30) -7695*a(n-31) +48470*a(n-32) -3495*a(n-33) -2854*a(n-34) +6746*a(n-35) -24008*a(n-36) -2108*a(n-37) -6882*a(n-38) -5945*a(n-39) +15575*a(n-40) +8171*a(n-41) +80*a(n-42) +1201*a(n-43) -813*a(n-44) -403*a(n-45) -488*a(n-46) -598*a(n-47) +10*a(n-48) -143*a(n-49) -14*a(n-50) +3*a(n-51) -4*a(n-52) +6*a(n-53) +a(n-54) for n>59.