OFFSET
0,2
COMMENTS
Arrange Pascal's triangle as a square array. A081204 is then a diagonal staircase on the square array. The steps are (1,3),(10,20),(70,126),(462,792),....
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
FORMULA
a(n) = binomial(ceiling((n+1)/2)+(n+1), n).
Conjecture: 4*n*(n-1)*(n+4)*(6*n^2-9*n-1)*a(n) +6*(n-1)*(27*n^2+29*n+4)*a(n-1) -3*n*(3*n-1)*(3*n+1)*(6*n^2+3*n-4)*a(n-2)=0. - R. J. Mathar, Nov 19 2014
MATHEMATICA
Table[Binomial[Ceiling[(n+1)/2] + (n + 1), n], {n, 0, 30}] (* Vincenzo Librandi, Aug 07 2013 *)
PROG
(Magma) [Binomial(Ceiling((n+1)/2)+(n+1), n): n in [0..30]]; // Vincenzo Librandi Aug 07 2013
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Mar 11 2003
STATUS
approved