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

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

Offset: 0

Author

Artur Jasinski, Jan 01 2007

Keywords

• nonn
• easy

Links

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

Crossrefs

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

Programs

Magma

[Binomial(NthPrime(n), 3): n in [3..40]]; // Vincenzo Librandi, 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 *)

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

Formula

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

Extensions

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