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a(n) = binomial(prime(n+5), prime(n)).
4

%I #9 Sep 08 2022 08:45:29

%S 1,78,680,11628,245157,34597290,206253075,15905368710,244662670200,

%T 960566918220,4568648125690,462525733568080,8964377427999630,

%U 6236646703759395,972963730453314600,5300174441392685400

%N a(n) = binomial(prime(n+5), prime(n)).

%H G. C. Greubel, <a href="/A126994/b126994.txt">Table of n, a(n) for n = 0..1000</a>

%t Table[Binomial[Prime[n+5], Prime[n]], {n, 0, 20}]

%o (PARI) vector(20, n, binomial(prime(n+5), prime(n))) \\ _G. C. Greubel_, May 29 2019

%o (Magma) [Binomial(NthPrime(n+5), NthPrime(n)): n in [1..20]]; // _G. C. Greubel_, May 29 2019

%o (Sage) [binomial(nth_prime(n+5), nth_prime(n)) for n in (1..20)] # _G. C. Greubel_, May 29 2019

%Y Cf. A058077, A125550, A126993, A126995, A126996, A126997, A126998.

%K nonn

%O 0,2

%A _Artur Jasinski_, Jan 01 2007

%E Missing n=0 term added by _N. J. A. Sloane_, May 17 2020