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a(n) = binomial(prime(4+n), prime(4)).
6

%I #16 Sep 08 2022 08:45:29

%S 1,330,1716,19448,50388,245157,1560780,2629575,10295472,22481940,

%T 32224114,62891499,154143080,341149446,436270780,869648208,1329890705,

%U 1629348612,2898753715,4151918628,6890268572,12846240784,17199613200,19813501785,26075972546,29796772356,38620298376

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

%H G. C. Greubel, <a href="/A126997/b126997.txt">Table of n, a(n) for n = 0..1000</a>

%t Table[Binomial[Prime[n + 4], Prime[4]], {n, 1, 30}]

%o (Magma) [Binomial(NthPrime(n+4), 7): n in [1..30]]; // _Vincenzo Librandi_, May 21 2019

%o (PARI) vector(30, n, binomial(prime(n+4), prime(4)) ) \\ _G. C. Greubel_, May 29 2019

%o (Sage) [binomial(nth_prime(n+4), 7) for n in (1..30)] # _G. C. Greubel_, May 29 2019

%Y Cf. A058077, A125550, A126993, A126993, A008837, A126995, A126996, A126998.

%K nonn

%O 0,2

%A _Artur Jasinski_, Jan 01 2007

%E Terms a(24) onward added by _G. C. Greubel_, May 30 2019

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