A291081 - OEIS

%I #14 Aug 20 2017 10:01:41

%S 1,1,7,6,3,1,51,45,30,15,5,1,393,357,266,161,77,28,7,1,3139,2907,2304,

%T 1554,882,414,156,45,9,1,25653,24068,19855,14355,9042,4917,2277,880,

%U 275,66,11,1,212941,201643,171106,129844,87802,52624,27742,12727,5005,1651,442,91,13,1

%N Irregular triangle read by rows: T(n,m) = number of lattice paths of type A^H terminating at point (n, m).

%H Veronika Irvine, <a href="http://hdl.handle.net/1828/7495">Lace Tessellations: A mathematical model for bobbin lace and an exhaustive combinatorial search for patterns</a>, PhD Dissertation, University of Victoria, 2016.

%e Triangle begins:

%e 1,1,

%e 7,6,3,1,

%e 51,45,30,15,5,1,

%e 393,357,266,161,77,28,7,1,

%e 3139,2907,2304,1554,882,414,156,45,9,1,

%e 25653,24068,19855,14355,9042,4917,2277,880,275,66,11,1,

%e 212941,201643,171106,129844,87802,52624,27742,12727,5005,1651,442,91,13,1,

%e ...

%Y First column is A273055.

%K nonn,tabf

%O 0,3

%A _N. J. A. Sloane_, Aug 19 2017