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a(n) is the greatest value in the n-th triangle of A375873.
2

%I #6 Sep 04 2024 15:51:57

%S 1,1,1,2,1,3,6,4,10,20,5,35,70,28,126,252,42,462,924,264,1716,3432,

%T 715,6435,12870,2860,24310,48620,12376,92378,184756,33592,352716,

%U 705432,58786,1352078,2704156,416024,5200300,10400600,742900,20058300,40116600,5348880

%N a(n) is the greatest value in the n-th triangle of A375873.

%H Rémy Sigrist, <a href="/A375963/b375963.txt">Table of n, a(n) for n = 0..1500</a>

%H Rémy Sigrist, <a href="/A375963/a375963.gp.txt">PARI program</a>

%F Empirically:

%F - a(3*n) = A000984(n),

%F - a(3*n) = 2*a(3*n-1) for any n > 0.

%e The third triangle of A375873 is:

%e 1

%e 1 1

%e 1 2 1

%e 1 1 1 1

%e So a(3) = 2.

%o (PARI) \\ See Links section.

%Y Cf. A000984, A375873.

%K nonn

%O 0,4

%A _Rémy Sigrist_, Sep 04 2024