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a(n) = 10n + 4.
15

%I #26 Sep 08 2022 08:44:42

%S 4,14,24,34,44,54,64,74,84,94,104,114,124,134,144,154,164,174,184,194,

%T 204,214,224,234,244,254,264,274,284,294,304,314,324,334,344,354,364,

%U 374,384,394,404,414,424,434,444,454,464,474,484,494,504,514,524,534

%N a(n) = 10n + 4.

%C Apart from initial term(s), dimension of the space of weight 2n cusp forms for Gamma_0( 59 ).

%H Vincenzo Librandi, <a href="/A017317/b017317.txt">Table of n, a(n) for n = 0..5000</a>

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

%H William A. Stein, <a href="http://wstein.org/Tables/dimskg0n.gp">Dimensions of the spaces S_k(Gamma_0(N))</a>

%H William A. Stein, <a href="http://wstein.org/Tables/">The modular forms database</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).

%F a(n) = 10*n + 4; a(n) = 2*a(n-1) - a(n-2). - _Vincenzo Librandi_, May 29 2011

%F G.f.: 2*(2+3*x)/(x-1)^2 . - _R. J. Mathar_, Mar 20 2018

%t Range[4, 1000, 10] (* _Vladimir Joseph Stephan Orlovsky_, May 28 2011 *)

%o (Magma) [10*n+4: n in [0..60]]; // _Vincenzo Librandi_, May 29 2011

%o (PARI) a(n)=10*n+4 \\ _Charles R Greathouse IV_, Jul 10 2016

%Y Cf. A008592, A017305.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_