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a(n) = binomial( prime(n+4), prime(n) ).
0

%I #12 Sep 08 2022 08:46:10

%S 55,286,6188,50388,1352078,67863915,265182525,17672631900,

%T 202112640600,78378960360,1503232609098,14844575908435,

%U 647520696018735,1312251244423350,57963796707857040,31074067324187580,369731787035040,275291011073898820,51705423561053205

%N a(n) = binomial( prime(n+4), prime(n) ).

%t Table[Binomial[Prime[x + 4], Prime[x]], {x, 1, 20}]

%o (Magma) [Binomial(NthPrime(n+4),NthPrime(n)): n in [1..20]];

%Y Cf. similar sequences of the type binomial(prime(n+k),prime(n)): A058077 (k=1), A125550 (k=2), A126993 (k=3), this sequence (k=4), A126994 (k=5).

%K nonn

%O 1,1

%A _Vincenzo Librandi_, Nov 12 2014