OFFSET
1,2
COMMENTS
For the definition of Tesler matrices see A008608.
LINKS
Alois P. Heinz, Table of n, a(n) for n = 1..21
EXAMPLE
There are two 2 X 2 Tesler matrices: [1,0; 0,1], [0,1; 0,2], the total sum of all elements gives a(2) = 5.
MAPLE
b:= proc(n, i, l) option remember; (m-> `if`(m=0, [1, 0], `if`(i=0,
(p-> p+[0, p[1]*(l[1]+1)])(b(l[1]+1, m-1, subsop(1=NULL, l))),
add(b(n-j, i-1, subsop(i=l[i]+j, l)), j=0..n))))(nops(l))
end:
a:= n-> (p-> p[1]+p[2])(b(1, n-1, [0$(n-1)])):
seq(a(n), n=1..14);
MATHEMATICA
b[n_, i_, l_] := b[n, i, l] = Function[m, If[m == 0, {1, 0}, If[i == 0, Function[p, p + {0, p[[1]]*(l[[1]] + 1)}][b[l[[1]] + 1, m - 1, ReplacePart[l, 1 -> Nothing]]], Sum[b[n - j, i - 1, ReplacePart[l, i -> l[[i]] + j]], {j, 0, n}]]]][Length[l]];
a[n_] := Function[p, p[[1]] + p[[2]]][b[1, n - 1, Table[0, {n - 1}]]];
Table[a[n], {n, 1, 14}] (* Jean-François Alcover, Jun 27 2022, after Alois P. Heinz *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jul 05 2015
STATUS
approved