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%I #6 Apr 28 2014 09:39:51
%S 1,1,2,6,7,11,16,31,36,55,71,101,147,188,245,327,421,540,732,899,1154,
%T 1445,1831,2253,2846,3545,4352,5352,6576,7993,9778,11826,14314,17430,
%U 20866,25076,30043,35974,42776,51053,60463,71772,85094,100370,118155,139331
%N Number of compositions of n into distinct parts with exactly one descent.
%H Alois P. Heinz, <a href="/A241720/b241720.txt">Table of n, a(n) for n = 3..1000</a>
%e a(3) = 1: [2,1].
%e a(4) = 1: [3,1].
%e a(5) = 2: [3,2], [4,1].
%e a(6) = 6: [4,2], [5,1], [2,3,1], [3,1,2], [1,3,2], [2,1,3].
%e a(7) = 7: [4,3], [5,2], [6,1], [2,4,1], [4,1,2], [1,4,2], [2,1,4].
%e a(8) = 11: [6,2], [5,3], [7,1], [1,4,3], [3,1,4], [2,1,5], [3,4,1], [2,5,1], [5,1,2], [1,5,2], [4,1,3].
%e a(9) = 16: [5,4], [8,1], [7,2], [6,3], [2,6,1], [3,5,1], [6,1,2], [1,6,2], [2,1,6], [3,4,2], [4,2,3], [5,1,3], [2,4,3], [1,5,3], [3,2,4], [3,1,5].
%Y Column k=1 of A241719.
%K nonn
%O 3,3
%A _Alois P. Heinz_, Apr 27 2014
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