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%I #11 Sep 03 2022 23:46:24
%S 1,1,1,2,2,1,3,5,5,1,3,6,9,9,1,4,10,19,28,28,1,4,10,20,34,48,48,1,5,
%T 15,35,69,117,165,165,1,5,15,35,70,125,200,275,275,1,6,21,56,126,251,
%U 451,726,1001,1001,1,6,21,56,126,252,461,780,1209,1638,1638
%N Basis of degenerate cases of sequences identical to its p-th differences. Complement to A140344 which is based on natural Catalan's triangle. Triangle without first term (probable 1) on line.
%C Triangle from A140344:
%C (1;)
%C 0, 1, 1;
%C 0, 0, 1, 2, 2;
%C 0, 0, 0, 1, 3, 5, 5; see A138112,
%C 0, 0, 0, 0, 1, 4, 9, 14, 14; see A140343,
%C begins (without 0's) like a(n).
%F First four rows of triangle from second row: 1, 1; 1, 2, 2; see A099087, 1, 3, 5, 5; 1, 3, 6, 9, 9; see A057083 which can be preceded with 3 leading 0's, are, as said, from natural Catalan's triangle A009766. Origin of a(n) explained later.
%Y Cf. A135356, A140344.
%K nonn,uned
%O 0,4
%A _Paul Curtz_, Jun 13 2008
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