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A001263 * A103451 as infinite lower triangular matrices.
0

%I #14 May 29 2023 08:29:05

%S 1,2,1,5,3,1,14,6,6,1,42,10,20,10,1,132,15,50,50,15,1,429,21,105,175,

%T 105,21,1,1430,28,196,490,490,196,28,1,4862,36,336,1176,1764,1176,336,

%U 36,1,16796,45,540,2520,5292,5292,2520,540,45,1,58786,55,825,4950,13860,19404,13860,4950,825,55,1

%N A001263 * A103451 as infinite lower triangular matrices.

%C Replace left border of the Narayana triangle A001263 with the Catalan sequence A000108 starting (1, 2, 5, 14, 42, ...).

%C Row sums = A131428 starting (1, 3, 9, 27, 83, ...).

%e First few rows of the triangle:

%e 1;

%e 2, 1

%e 5, 3, 1;

%e 14, 6, 6, 1;

%e 42, 10, 20, 10, 1;

%e 132, 15, 50, 50, 15, 1;

%e ...

%Y Cf. A000108, A001263, A103451.

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_, Aug 31 2007

%E Definition corrected by _Philippe Deléham_, Oct 11 2007

%E a(40) split and more terms from _Georg Fischer_, May 29 2023