A110833 a(n) = (prime(n)+1)^2.

9, 16, 36, 64, 144, 196, 324, 400, 576, 900, 1024, 1444, 1764, 1936, 2304, 2916, 3600, 3844, 4624, 5184, 5476, 6400, 7056, 8100, 9604, 10404, 10816, 11664, 12100, 12996, 16384, 17424, 19044, 19600, 22500, 23104, 24964, 26896, 28224, 30276, 32400, 33124, 36864

Offset: 1

Author

Giovanni Teofilatto, Sep 18 2005

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A008864, A065472, A065486.

Programs

Magma

[(p+1)^2: p in PrimesUpTo(200)]; // Vincenzo Librandi, Mar 27 2014

Mathematica

Table[(Prime[n] + 1)^2, {n, 200}] (* Vincenzo Librandi, Mar 27 2014 *)

Python

from sympy import primerange
print([(p+1)**2 for p in primerange(1, 192)]) # Michael S. Branicky, Sep 16 2021

Formula

From Amiram Eldar, Jan 23 2021: (Start)

a(n) = A008864(n)^2.

Product_{n>=1} (1 + 1/a(n)) = A065486.

Product_{n>=1} (1 - 1/a(n)) = A065472. (End)

Sum 1/a(n) = A382554. - R. J. Mathar, Mar 31 2025

Extensions

Corrected and extended by Ray Chandler, Oct 08 2005