A243235 - OEIS

%I #4 Jun 01 2014 18:53:16

%S 5,7894,1224994,78795771,3067107659,85773445272,1895106633310,

%T 35082703708444,565885383903338,8174846220800924,107914203931103343,

%U 1321652161255079196,15194953405886326264,165524034548480907270,1721272958146506221402,17191653626679380069342

%N Number of isoscent sequences of length n with exactly nine ascents.

%H Joerg Arndt and Alois P. Heinz, <a href="/A243235/b243235.txt">Table of n, a(n) for n = 14..100</a>

%p b:= proc(n, i, t) option remember; `if`(n<1, 1, expand(add(

%p       `if`(j>i, x, 1) *b(n-1, j, t+`if`(j=i, 1, 0)), j=0..t+1)))

%p     end:

%p a:= n-> coeff(b(n-1, 0$2), x, 9):

%p seq(a(n), n=14..35);

%Y Column k=9 of A242351.

%K nonn

%O 14,1

%A _Joerg Arndt_ and _Alois P. Heinz_, Jun 01 2014