|
%I #10 Jul 25 2015 20:45:31
%S 1,1,1,2,1,1,4,2,1,1,9,4,2,1,1,21,8,4,2,1,1,51,17,8,4,2,1,1,127,37,16,
%T 8,4,2,1,1,323,82,33,16,8,4,2,1,1,835,185,69,32,16,8,4,2,1,1,2188,423,
%U 146,65,32,16,8,4,2,1,1,5798,978,312,133,64,32,16,8,4,2,1,1
%N Triangle of generalized Catalan numbers read by rows.
%H Manfred Scheucher, <a href="/A258709/b258709.txt">Table of n, a(n) for n = 0..5150</a>
%H P. R. Stein and M. S. Waterman, <a href="http://dx.doi.org/10.1016/0012-365X(79)90033-5">On some new sequences generalizing the Catalan and Motzkin numbers</a>, Discrete Math., 26 (1978), 261-272.
%H P. R. Stein and M. S. Waterman, <a href="/A001006/a001006_4.pdf">On some new sequences generalizing the Catalan and Motzkin numbers</a> [Corrected annotated scanned copy] See Table 1.
%H Manfred Scheucher, <a href="/A258709/a258709.sage.txt">Sage Script</a>
%e Triangle begins
%e 1,
%e 1,1,
%e 2,1,1,
%e 4,2,1,1,
%e 9,4,2,1,1,
%e 21,8,4,2,1,1,
%e 51,17,8,4,2,11,
%e 127,37,16,8,4,2,1,1,
%e 323,82,33,16,8,4,2,1,1,
%e 835,185,69,32,16,8,4,2,1,1,
%e ...
%Y Cf. A064645.
%Y First 3 columns are A001006, A004148, A004149.
%K nonn,tabl,easy
%O 0,4
%A _N. J. A. Sloane_, Jun 13 2015
%E Corrected and extended by _Manfred Scheucher_, Jul 25 2015
|
