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%I #11 Jan 15 2018 05:08:36
%S 1,1,1,1,3,1,1,5,7,1,1,7,19,13,1,1,9,37,55,21,1,1,11,61,147,131,31,1,
%T 1,13,91,309,471,271,43,1,1,15,127,561,1251,1281,505,57,1,1,17,169,
%U 923,2751,4251,3067,869,73,1,1,19,217,1415,5321,11253,12559,6637,1405,91,1
%N Table of crystal ball sequences for A_n lattices read by antidiagonals.
%C Rows (n=0..10) are A000012, A005408, A003215, A005902, A008384, A008386, A008388, A008390, A008392, A008394, A008396.
%C Row reverse of A108625. - _Peter Bala_, Jul 18 2008
%F T(n, k)=hypergeom([n+1, -n, -k], [1, 1], 1).
%o (PARI) T(n,k)=sum(j=0,min(n,k),binomial(n+j,j)*binomial(n,j)*binomial(k,j))
%Y T(n, n)=A005258(n), T(2n, n)=A099601(n).
%Y Cf. A108625.
%K nonn,tabl
%O 0,5
%A _Michael Somos_, Oct 25 2004
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