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 A241635 Number of compositions of n with exactly ten descents. 3

%I #8 Nov 28 2023 10:48:16

%S 89,1529,15072,109700,651755,3333143,15159290,62673818,239267852,

%T 853417204,2869778022,9163554647,27947044811,81799126374,230699706092,

%U 629085587197,1663426352840,4275866388599,10708451601656,26178837135330,62580214195713,146503017803381

%N Number of compositions of n with exactly ten descents.

%H Joerg Arndt and Alois P. Heinz, <a href="/A241635/b241635.txt">Table of n, a(n) for n = 30..1000</a>

%p b:= proc(n, i) option remember;

%p `if`(j<i, x, 1), j=1..n), x, 11), polynom))

%p end:

%p a:= n-> coeff(b(n, 0), x, 10):

%p seq(a(n), n=30..55);

%t b[n_, i_] := b[n, i] = If[n == 0, 1, Sum[b[n - j, j]*

%t If[j < i, x, 1], {j, 1, n}] // Expand];

%t a[n_] := Coefficient[b[n, 0], x, 10];

%t Table[a[n], {n, 30, 55}] (* _Jean-François Alcover_, Nov 28 2023, from Maple code *)

%Y Column k=10 of A238343 and of A238344.

%K nonn,changed

%O 30,1

%A _Joerg Arndt_ and _Alois P. Heinz_, Apr 26 2014

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Last modified December 3 18:58 EST 2023. Contains 367540 sequences. (Running on oeis4.)