A231852 Number of nX5 0..2 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions)

21, 612, 85288, 11149456, 1454768048, 189801034186, 24762957054535, 3230773305296573, 421512520908365354, 54993894395631067868, 7174943262940390093175, 936100477964636376119044

Offset

1,1

Comments

Column 5 of A231855

Links

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

Formula

Empirical: a(n) = 183*a(n-1) -8008*a(n-2) +164477*a(n-3) -1911762*a(n-4) +13545983*a(n-5) -59779265*a(n-6) +159414566*a(n-7) -218855372*a(n-8) +7532104*a(n-9) +451112826*a(n-10) -590711864*a(n-11) +106059884*a(n-12) +386076754*a(n-13) -374591713*a(n-14) +131217119*a(n-15) +37977619*a(n-16) -86897128*a(n-17) +54663372*a(n-18) -17127366*a(n-19) +3057852*a(n-20) -413220*a(n-21) for n>22

Example

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

Crossrefs

Sequence in context: A296672 A134499 A365744 * A327681 A141265 A025752

Adjacent sequences: A231849 A231850 A231851 * A231853 A231854 A231855

Keyword

nonn

Author

R. H. Hardin, Nov 14 2013

Status

approved