OFFSET
0,2
COMMENTS
Column 5 of A220644.
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..300 (terms n = 1..210 from R. H. Hardin)
FORMULA
Empirical: a(n) = 48*a(n-1) +694*a(n-2) -6232*a(n-3) -31552*a(n-4) +254384*a(n-5) +127448*a(n-6) -2270720*a(n-7) +175600*a(n-8) +6932672*a(n-9) -38400*a(n-10) -7223680*a(n-11) -640000*a(n-12) +1681408*a(n-13) +237568*a(n-14) +192512*a(n-15) -16384*a(n-16) +32768*a(n-17).
G.f.: see Maple program. - Alois P. Heinz, Jun 03 2014
EXAMPLE
Some solutions for n=3 0=self 1=nw 2=n 3=ne 4=w 6=e 7=sw 8=s 9=se (reciprocal directions total 10)
..0..6..4..9..0....6..4..0..0..7....0..9..0..6..4....0..7..6..4..0
..6..4..0..8..1....0..7..7..3..0....0..7..1..0..0....3..9..0..9..0
..0..0..0..2..0....3..3..0..0..0....3..0..0..6..4....0..0..1..0..1
MAPLE
gf:= -(4096*x^15 -4096*x^14 +31232*x^13 +42240*x^12 +242304*x^11 -32896*x^10 -801152*x^9 -74640*x^8 +473568*x^7 -18040*x^6 -86144*x^5 +11752*x^4 +3056*x^3 -350*x^2 -40*x+1) / (32768*x^17 -16384*x^16 +192512*x^15 +237568*x^14 +1681408*x^13 -640000*x^12 -7223680*x^11 -38400*x^10 +6932672*x^9 +175600*x^8 -2270720*x^7 +127448*x^6 +254384*x^5 -31552*x^4 -6232*x^3 +694*x^2 +48*x-1):
a:= n-> coeff(series(gf, x, n+1), x, n):
seq(a(n), n=0..25); # Alois P. Heinz, Jun 03 2014
CROSSREFS
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 17 2012
STATUS
approved