OFFSET
0,9
COMMENTS
Row sums give A000142.
Row lengths are given by A000217 for n>=1. - Omar E. Pol, Oct 25 2015
LINKS
Alois P. Heinz, Rows n = 0..23, flattened
FindStat - Combinatorial Statistic Finder, The sum of the descent tops of a permutation
EXAMPLE
Triangle begins:
1;
1;
1,0,1;
1,0,1,3,0,1;
1,0,1,3,7,1,3,7,0,1;
1,0,1,3,7,16,3,14,17,32,3,7,15,0,1;
1,0,1,3,7,16,34,14,32,69,72,129,32,68,70,118,7,15,31,0,1;
...
MAPLE
b:= proc(s) option remember; (n-> `if`(n=0, 1, expand(
add(b(s minus {j})*`if`(j<n, x^n, 1), j=s))))(nops(s))
end:
T:= n-> (p-> seq(coeff(p, x, i), i=0..degree(p)))(b({$1..n})):
seq(T(n), n=0..9); # Alois P. Heinz, Oct 25 2015, revised, Jan 31 2023
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Christian Stump, Oct 19 2015
EXTENSIONS
One term prepended and one term corrected by Alois P. Heinz, Oct 25 2015
STATUS
approved