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A110833
a(n) = (prime(n)+1)^2.
3
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
1,1
LINKS
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)
MATHEMATICA
Table[(Prime[n] + 1)^2, {n, 200}] (* Vincenzo Librandi, Mar 27 2014 *)
PROG
(Magma) [(p+1)^2: p in PrimesUpTo(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
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Giovanni Teofilatto, Sep 18 2005
EXTENSIONS
Corrected and extended by Ray Chandler, Oct 08 2005
STATUS
approved