OFFSET
6,1
COMMENTS
Second subdiagonal of the table of values of V(r,k) on page 240.
REFERENCES
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
A. Cayley, On the partitions of a polygon, Proc. London Math. Soc., 22 (1891), 237-262
A. Cayley, On the partitions of a polygon, Collected Mathematical Papers. Vols. 1-13, Cambridge Univ. Press, London, 1889-1897, Vol. 13, pp. 93ff.
FORMULA
a(n) = (n-3) * binomial(2n-6,n). - Gill Barequet, Nov 09 2011
9*n*(n-6)*a(n) + 2*(-17n^2+90n-133)*a(n-2) - 4*(n-4)(2n-9)*a(n-2) = 0. - R. J. Mathar, Nov 26 2011
G.f.: 64*x^6*(2*x+3*sqrt(1-4x))/( (1+sqrt(1-4x))^6 * (1-4x)^(3/2)). - R. J. Mathar, Nov 27 2011
a(n) ~ 4^n*sqrt(n)/(64*sqrt(Pi)). - Ilya Gutkovskiy, Apr 11 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved