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a(n) = binomial(prime(n+5), prime(5)).
6

%I #12 Sep 08 2022 08:45:29

%S 1,78,12376,75582,1352078,34597290,84672315,854992152,3159461968,

%T 5752004349,17417133617,76223753060,279871768995,418094152866,

%U 1285063345176,2560547383576,3558497368608,9036996468045,16141841823510,36519676207704,99468442390512,158940114100040

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

%H G. C. Greubel, <a href="/A126998/b126998.txt">Table of n, a(n) for n = 0..1000</a>

%t Table[Binomial[Prime[n+5], Prime[5]], {n, 1, 30}]

%o (PARI) vector(30, n, binomial(prime(n+5), prime(5)) ) \\ _G. C. Greubel_, May 29 2019

%o (Magma) [Binomial(NthPrime(n+5), NthPrime(5)): n in [1..30]]; // _G. C. Greubel_, May 29 2019

%o (Sage) [binomial(nth_prime(n+5), nth_prime(5)) for n in (1..30)] # _G. C. Greubel_, May 29 2019

%Y Cf. A058077, A125550, A126993, A126993, A008837, A126995, A126996, A126997.

%K nonn

%O 0,2

%A _Artur Jasinski_, Jan 01 2007

%E Terms a(19) onward added by _G. C. Greubel_, May 30 2019

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