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a(n) = prime(n)*Catalan(n).
1

%I #14 Jan 05 2024 00:11:43

%S 2,6,25,98,462,1716,7293,27170,111826,487084,1822366,7696444,30458900,

%T 115000920,455657715,1873956510,7649042610,29135960700,118406633730,

%U 466052549820,1786037492460,7227122527560,28473947932950

%N a(n) = prime(n)*Catalan(n).

%H G. C. Greubel, <a href="/A028302/b028302.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = A000040(n)*A000108(n).

%t Table[Prime[n]CatalanNumber[n],{n,30}] (* _Harvey P. Dale_, Jul 22 2016 *)

%o (Magma) [NthPrime(n)*Catalan(n): n in [1..40]]; // _G. C. Greubel_, Jan 04 2024

%o (SageMath) [nth_prime(n)*catalan_number(n) for n in range(1,41)] # _G. C. Greubel_, Jan 04 2024

%Y Cf. A000040, A000108.

%K nonn,easy

%O 1,1

%A fink(AT)cadvision.com (A.R.FINK)

%E More terms from _James A. Sellers_