

A126995


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


7



1, 10, 35, 165, 286, 680, 969, 1771, 3654, 4495, 7770, 10660, 12341, 16215, 23426, 32509, 35990, 47905, 57155, 62196, 79079, 91881, 113564, 147440, 166650, 176851, 198485, 209934, 234136, 333375, 366145, 419220, 437989, 540274, 562475, 632710, 708561, 762355
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OFFSET

0,2


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000


FORMULA

a(n) ~ (n log n)^3 / 6.  Charles R Greathouse IV, May 10 2017


MATHEMATICA

Table[Binomial[Prime[n + 2], Prime[2]], {n, 1, 40}]
Table[Binomial[Prime[n], 3], {n, 3, 40}] (* Vincenzo Librandi, May 10 2017 *)


PROG

(Magma) [Binomial(NthPrime(n), 3): n in [3..40]]; // Vincenzo Librandi, May 10 2017
(PARI) a(n)=binomial(prime(n+2), 3) \\ Charles R Greathouse IV, May 10 2017
(Sage) [binomial(nth_prime(n+2), 3) for n in (1..40)] # G. C. Greubel, May 29 2019


CROSSREFS

Cf. A008837, A058077, A125550, A126993, A126994, A126996, A126997, A126998.
Sequence in context: A221907 A195269 A070755 * A271732 A219295 A000820
Adjacent sequences: A126992 A126993 A126994 * A126996 A126997 A126998


KEYWORD

nonn,easy


AUTHOR

Artur Jasinski, Jan 01 2007


EXTENSIONS

Missing n=0 term added by N. J. A. Sloane, May 17 2020


STATUS

approved



