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a(n) = 10n + 3.
24

%I #40 Aug 23 2023 07:12:46

%S 3,13,23,33,43,53,63,73,83,93,103,113,123,133,143,153,163,173,183,193,

%T 203,213,223,233,243,253,263,273,283,293,303,313,323,333,343,353,363,

%U 373,383,393,403,413,423,433,443,453,463,473,483,493,503,513,523,533

%N a(n) = 10n + 3.

%C Apart from initial term(s), dimension of the space of weight 2n cusp forms for Gamma_0( 38 ).

%H Vincenzo Librandi, <a href="/A017305/b017305.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) = A017198(n) - A156677(n+2). - _Reinhard Zumkeller_, Jul 13 2010

%F a(n) = 2*a(n-1) - a(n-2). - _Vincenzo Librandi_, May 28 2011

%F G.f.: ( 3+7*x ) / (x-1)^2 . - _R. J. Mathar_, Apr 11 2016

%F E.g.f.: exp(x)*(3 + 10*x). - _Stefano Spezia_, Aug 22 2023

%t Range[3, 1000, 10] (* _Vladimir Joseph Stephan Orlovsky_, May 28 2011 *)

%o (Magma) [10*n+3: n in [0..60]]; // _Vincenzo Librandi_, May 28 2011

%Y Cf. A008592, A017198, A017281, A017293, A156677.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_