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A243484 Number of isoscent sequences of length n with maximal number of descents. 2

%I #9 Feb 09 2015 10:34:37

%S 1,1,2,1,6,2,28,10,1,98,22,2,570,130,17,1,1842,337,38,2,13104,2437,

%T 318,26,1,45188,7126,805,58,2,387323,61504,7496,658,37,1,1422382,

%U 196200,20978,1631,82,2,14272601,1971561,220497,19175,1216,50,1,54989728,6713935

%N Number of isoscent sequences of length n with maximal number of descents.

%H Joerg Arndt and Alois P. Heinz, <a href="/A243484/b243484.txt">Table of n, a(n) for n = 0..100</a>

%F a(n) = A242352(n,n+2-ceiling(2*sqrt(n+1))).

%t b[n_, i_, t_] := b[n, i, t] = If[n<1, 1, Expand[ Sum[If[j<i, x, 1]*b[n-1, j, t + If[j == i, 1, 0]], {j, 0, t+1}]]]; a[n_] := Coefficient[b[n-1, 0, 0], x, n + 2 - Ceiling[2*Sqrt[n+1]]]; Table[a[n], {n, 0, 50}] (* _Jean-François Alcover_, Feb 09 2015, after A242352 *)

%K nonn

%O 0,3

%A _Joerg Arndt_ and _Alois P. Heinz_, Jun 05 2014

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Last modified April 18 14:42 EDT 2024. Contains 371780 sequences. (Running on oeis4.)