A271512 a(n) = (p+1)*(p+2)*(p+3)/6 where p is the n-th prime.
10, 20, 56, 120, 364, 560, 1140, 1540, 2600, 4960, 5984, 9880, 13244, 15180, 19600, 27720, 37820, 41664, 54740, 64824, 70300, 88560, 102340, 125580, 161700, 182104, 192920, 215820, 227920, 253460, 357760, 392084, 447580, 467180, 573800, 596904, 669920, 748660
Offset: 1
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Programs
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Magma
[(p+1)*(p+2)*(p+3) / 6: p in PrimesUpTo(200)];
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Maple
A271512:=n->(ithprime(n)+1)*(ithprime(n)+2)*(ithprime(n)+3)/6: seq(A271512(n), n=1..80); # Wesley Ivan Hurt, Apr 10 2016
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Mathematica
Table[(Prime[n]^3 + 6 Prime[n]^2 + 11 Prime[n] + 6) / 6, {n, 50}] -
PARI
lista(nn) = forprime(p=2, nn, print1((p+1)*(p+2)*(p+3)/6, ", ")); \\ Altug Alkan, Apr 10 2016
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Python
from sympy import prime for n in range(1,1000): p=prime(n) print((int)(((p+1)*(p+2)*(p+3))/6)) # Soumil Mandal, Apr 11 2016
Comments