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A126995 a(n) = binomial(prime(n+2), 3). 7

%I #20 Sep 08 2022 08:45:29

%S 1,10,35,165,286,680,969,1771,3654,4495,7770,10660,12341,16215,23426,

%T 32509,35990,47905,57155,62196,79079,91881,113564,147440,166650,

%U 176851,198485,209934,234136,333375,366145,419220,437989,540274,562475,632710,708561,762355

%N a(n) = binomial(prime(n+2), 3).

%H Vincenzo Librandi, <a href="/A126995/b126995.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) ~ (n log n)^3 / 6. - _Charles R Greathouse IV_, May 10 2017

%t Table[Binomial[Prime[n + 2], Prime[2]], {n, 1, 40}]

%t Table[Binomial[Prime[n], 3], {n, 3, 40}] (* _Vincenzo Librandi_, May 10 2017 *)

%o (Magma) [Binomial(NthPrime(n), 3): n in [3..40]]; // _Vincenzo Librandi_, May 10 2017

%o (PARI) a(n)=binomial(prime(n+2),3) \\ _Charles R Greathouse IV_, May 10 2017

%o (Sage) [binomial(nth_prime(n+2), 3) for n in (1..40)] # _G. C. Greubel_, May 29 2019

%Y Cf. A008837, A058077, A125550, A126993, A126994, A126996, A126997, A126998.

%K nonn,easy

%O 0,2

%A _Artur Jasinski_, Jan 01 2007

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

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Last modified June 1 23:52 EDT 2024. Contains 373032 sequences. (Running on oeis4.)