OFFSET
0,1
COMMENTS
Apart from initial term(s), dimension of the space of weight 2n cusp forms for Gamma_0(71).
A089911(2*a(n)) = 7. - Reinhard Zumkeller, Jul 05 2013
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..3000
Tanya Khovanova, Recursive Sequences
William A. Stein, Dimensions of the spaces S_k(Gamma_0(N))
William A. Stein, The modular forms database
Index entries for linear recurrences with constant coefficients, signature (2,-1).
FORMULA
a(n) = 2*a(n-1) - a(n-2) for n>1, a(0)=5, a(1)=17. - Vincenzo Librandi, Jun 08 2011
G.f.: x*(5 + 7*x)/(1 - x)^2. - Wolfdieter Lang, Jul 04 2023
E.g.f.: exp(x)*(5 + 12*x). - Stefano Spezia, Feb 21 2024
MATHEMATICA
12*Range[0, 200]+5 (* Vladimir Joseph Stephan Orlovsky, Feb 19 2011 *)
PROG
(Magma) [12*n+5: n in [0..60]]; // Vincenzo Librandi, Jun 08 2011
(Haskell)
a017581 = (+ 5) . (* 12) -- Reinhard Zumkeller, Jul 05 2013
(PARI) a(n)=12*n+5 \\ Charles R Greathouse IV, Jul 10 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved