OFFSET
0,2
COMMENTS
This is a variant of the Jenga game (see link).
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..1000
R. J. Mathar, Tilings of rectangular regions by rectangular tiles: counts derived from transfer matrices, arXiv:1406.7788 [math.CO], 2014; eq. (40).
Wikipedia, Jenga
Index entries for linear recurrences with constant coefficients, signature (3,0,13,2,-11,-7,4,-3,1,-1)
FORMULA
G.f.: (x^7 -x^6 +x^5 -x^4 +4*x^3 +2*x^2 +x -1) / (-x^10 +x^9 -3*x^8 +4*x^7 -7*x^6 -11*x^5 +2*x^4 +13*x^3 +3*x -1).
MAPLE
gf:= (x^7-x^6+x^5-x^4+4*x^3+2*x^2+x-1)/(-x^10+x^9
-3*x^8+4*x^7-7*x^6-11*x^5+2*x^4+13*x^3+3*x-1):
a:= n-> coeff(series(gf, x, n+1), x, n):
seq(a(n), n=0..30);
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Dec 06 2013
STATUS
approved