login
A063347
Dimension of the space of weight n cuspidal newforms for Gamma_1( 74 ).
0
-1, 56, 114, 171, 228, 285, 342, 397, 456, 511, 570, 627, 684, 737, 798, 853, 912, 967, 1026, 1079, 1140, 1193, 1254, 1309, 1368, 1419, 1482, 1535, 1596, 1649, 1710, 1761, 1824, 1875, 1938, 1991, 2052, 2101, 2166, 2217, 2280, 2331, 2394
OFFSET
2,2
FORMULA
From Colin Barker, Feb 25 2016: (Start)
a(n) = a(n-4) + a(n-6) - a(n-10) for n>13.
G.f.: -x^2*(1 -56*x -114*x^2 -171*x^3 -229*x^4 -229*x^5 -229*x^6 -170*x^7 -114*x^8 -55*x^9 +x^10 -x^11) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)).
(End)
CROSSREFS
Sequence in context: A039534 A360332 A360356 * A219807 A219458 A054891
KEYWORD
sign
AUTHOR
N. J. A. Sloane, Jul 14 2001
STATUS
approved