OFFSET
1,2
COMMENTS
Row sums are in A052905.
REFERENCES
H. S. M. Coxeter, Regular Polytopes, 3rd ed., Dover, NY, 1973, pp 159-162.
FORMULA
T(n,k) = n-k, k>=1. - R. J. Mathar, Jul 11 2012
EXAMPLE
1;
4, 1;
7, 2, 1;
10, 3, 2, 1;
13, 4, 3, 2, 1;
16, 5, 4, 3, 2, 1;
19, 6, 5, 4, 3, 2, 1;
22, 7, 6, 5, 4, 3, 2, 1;
25, 8, 7, 6, 5, 4, 3, 2, 1;
28, 9, 8, 7, 6, 5, 4, 3, 2, 1;
MAPLE
A158860 := proc(n, k)
option remember;
if k = 0 then
3*n-2 ;
elif k >= n then
0 ;
else
(1+procname(n-1, k)*procname(n, k-1))/procname(n-1, k-1) ;
end if;
end proc: # R. J. Mathar, Jul 11 2012
MATHEMATICA
Clear[e, n, k];
e[n_, 0] := 3*n - 2;
e[n_, k_] := 0 /; k >= n;
e[n_, k_] := (e[n - 1, k]*e[n, k - 1] + 1)/e[n - 1, k - 1];
Table[Table[e[n, k], {k, 0, n - 1}], {n, 1, 10}];
Flatten[%]
CROSSREFS
KEYWORD
AUTHOR
Roger L. Bagula and Gary W. Adamson, Mar 28 2009
STATUS
approved