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Number of isoscent sequences of length n with exactly ten ascents.
2

%I #7 Jun 01 2014 18:46:20

%S 1854,663390,72572427,4229760773,164869021176,4846616066912,

%T 115525788526251,2341346575945183,41696673590069251,

%U 668272802442309946,9812868808904564866,133849038379000364897,1714455118957116764366,20802230173239523620513,240794713489411990019752

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

%H Joerg Arndt and Alois P. Heinz, <a href="/A243236/b243236.txt">Table of n, a(n) for n = 16..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, 10):

%p seq(a(n), n=16..35);

%Y Column k=10 of A242351.

%K nonn

%O 16,1

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