A063213 -id:A063213 - cp's OEIS frontend

A201715 Primes of the form 3*m^2 - 2.

73, 241, 673, 1321, 1873, 2521, 3673, 4561, 6073, 11161, 14281, 15121, 19681, 21673, 23761, 24841, 27073, 29401, 33073, 49921, 51481, 54673, 63073, 66601, 72073, 77761, 87721, 91873, 102673, 109441, 114073, 118801, 131041, 143881

Offset: 1

Vincenzo Librandi, Dec 04 2011

Primes p such that 3*(p+2) or (p+2)/3 is a square. - Vincenzo Librandi, Feb 16 2016

m is a member of A063213. - Bruno Berselli, Feb 16 2016

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

Primes in A100536.

Cf. A089682, A201716, A201717, A201718, A201781.

[a: n in [1..300] | IsPrime(a) where a is 3*n^2-2];

Select[Table[3 n^2 - 2, {n, 1, 800}], PrimeQ]

A063241 Dimension of the space of weight 2n cuspidal newforms for Gamma_0(90).

Original entry on oeis.org

3, 5, 7, 13, 15, 17, 23, 25, 27, 33, 35, 37, 43, 45, 47, 53, 55, 57, 63, 65, 67, 73, 75, 77, 83, 85, 87, 93, 95, 97, 103, 105, 107, 113, 115, 117, 123, 125, 127, 133, 135, 137, 143, 145, 147, 153, 155, 157, 163, 165

Offset: 1

N. J. A. Sloane, Jul 10 2001

The sequence lists the odd numbers ending with 3, 5 and 7. This follows from Mathar's generating function. - Bruno Berselli, Feb 16 2016

William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_0(N))
William A. Stein, The modular forms database
Index entries for linear recurrences with constant coefficients, signature (1,0,1,-1).

Cf. A063213.

G.f.: 3*x -x^2*(-5-2*x-6*x^2+3*x^3) / ( (1+x+x^2)*(x-1)^2 ). - R. J. Mathar, Jul 15 2015

a(n) = 2*n + 4*floor(n/3 - 1/3) + 1. This formula follows from Mathar's generating function. - Bruno Berselli, Feb 16 2016

cp's OEIS Frontend

A201715 Primes of the form 3*m^2 - 2.

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