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A110833 a(n) = (prime(n)+1)^2. 3

%I #18 Sep 08 2022 08:45:20

%S 9,16,36,64,144,196,324,400,576,900,1024,1444,1764,1936,2304,2916,

%T 3600,3844,4624,5184,5476,6400,7056,8100,9604,10404,10816,11664,12100,

%U 12996,16384,17424,19044,19600,22500,23104,24964,26896,28224,30276,32400,33124,36864

%N a(n) = (prime(n)+1)^2.

%H Vincenzo Librandi, <a href="/A110833/b110833.txt">Table of n, a(n) for n = 1..1000</a>

%F From _Amiram Eldar_, Jan 23 2021: (Start)

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

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

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

%t Table[(Prime[n] + 1)^2, {n, 200}] (* _Vincenzo Librandi_, Mar 27 2014 *)

%o (Magma) [(p+1)^2: p in PrimesUpTo(200)]; // _Vincenzo Librandi_, Mar 27 2014

%o (Python)

%o from sympy import primerange

%o print([(p+1)**2 for p in primerange(1, 192)]) # _Michael S. Branicky_, Sep 16 2021

%Y Cf. A008864, A065472, A065486.

%K nonn,easy

%O 1,1

%A _Giovanni Teofilatto_, Sep 18 2005

%E Corrected and extended by _Ray Chandler_, Oct 08 2005

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)