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A238347 Triangle T(n,k) read by rows: T(n,k) is the number of compositions of n where the k-th part is the first occurrence of a smallest part, n>=1, 1<=k<=n.

%I A238347 #10 Feb 26 2014 08:55:22
%S A238347 1,2,0,3,1,0,6,2,0,0,10,5,1,0,0,20,9,3,0,0,0,37,19,7,1,0,0,0,72,36,16,
%T A238347 4,0,0,0,0,140,71,33,11,1,0,0,0,0,275,139,67,26,5,0,0,0,0,0,540,274,
%U A238347 135,58,16,1,0,0,0,0,0,1069,539,269,123,42,6,0,0,0,0,0,0,2118,1068,534,254,99,22,1,0
%N A238347 Triangle T(n,k) read by rows: T(n,k) is the number of compositions of n where the k-th part is the first occurrence of a smallest part, n>=1, 1<=k<=n.
%C A238347 Column k=0 is A238351. Column k=1 is A171682.
%C A238347 Row sums are A011782.
%H A238347 Joerg Arndt, <a href="/A238347/b238347.txt">Table of n, a(n) for n = 1..465</a> (rows 1..30, flattened)
%e A238347 Triangle starts:
%e A238347 01:  1,
%e A238347 02:  2, 0,
%e A238347 03:  3, 1, 0,
%e A238347 04:  6, 2, 0, 0,
%e A238347 05:  10, 5, 1, 0, 0,
%e A238347 06:  20, 9, 3, 0, 0, 0,
%e A238347 07:  37, 19, 7, 1, 0, 0, 0,
%e A238347 08:  72, 36, 16, 4, 0, 0, 0, 0,
%e A238347 09:  140, 71, 33, 11, 1, 0, 0, 0, 0,
%e A238347 10:  275, 139, 67, 26, 5, 0, 0, 0, 0, 0,
%e A238347 11:  540, 274, 135, 58, 16, 1, 0, 0, 0, 0, 0,
%e A238347 12:  1069, 539, 269, 123, 42, 6, 0, 0, 0, 0, 0, 0,
%e A238347 13:  2118, 1068, 534, 254, 99, 22, 1, 0, 0, 0, 0, 0, 0,
%e A238347 14:  4206, 2117, 1062, 516, 220, 64, 7, 0, 0, 0, 0, 0, 0, 0,
%e A238347 15:  8365, 4205, 2111, 1040, 470, 163, 29, 1, 0, 0, 0, 0, 0, 0, 0,
%e A238347 ...
%K A238347 nonn,tabl
%O A238347 1,2
%A A238347 _Joerg Arndt_ and _Alois P. Heinz_, Feb 25 2014