



3, 11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 91, 99, 107, 115, 123, 131, 139, 147, 155, 163, 171, 179, 187, 195, 203, 211, 219, 227, 235, 243, 251, 259, 267, 275, 283, 291, 299, 307, 315, 323, 331, 339, 347, 355, 363, 371, 379, 387, 395, 403, 411, 419, 427
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OFFSET

0,1


COMMENTS

Apart from initial term(s), dimension of the space of weight 2n cusp forms for Gamma_0( 47 ).
Also numbers of the form x^2 + y^2 + z^2, where x,y,z are odd integers.  Alexander Adamchuk, Dec 01 2006


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..5000
Tanya Khovanova, Recursive Sequences
William A. Stein, Dimensions of the spaces S_k(Gamma_0(N))
William A. Stein, The modular forms database
Index to sequences with linear recurrences with constant coefficients, signature (2,1)


FORMULA

a(n) = A001969(2*n+1) + A001969(2*n) = A000069(2*n+1) + A000069(2*n).  Philippe Deléham, Feb 04 2004
G.f.: (3+5*x)/(1x)^2.  R. J. Mathar, Mar 30 2011
a(n) = 8*n+3; a(n) = 2*a(n1)a(n2); [Vincenzo Librandi, May 28 2011]


MATHEMATICA

Range[3, 1000, 8] (* From Vladimir Joseph Stephan Orlovsky, May 27 2011 *)


PROG

(MAGMA) [8*n+3: n in [0..60]]; // Vincenzo Librandi, May 28 2011
(PARI) a(n)=8*n+3 \\ Charles R Greathouse IV, Jun 02 2013


CROSSREFS

Cf. A004769, A017077, A017089.
Sequence in context: A113295 A043433 A078583 * A112422 A125994 A137295
Adjacent sequences: A017098 A017099 A017100 * A017102 A017103 A017104


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane.


STATUS

approved



