login
A007985
Co-growth function of a certain group.
1
2, 2, 6, 22, 58, 146, 414, 1206, 3410, 9634, 27670, 79926, 230666, 667058, 1936174, 5632662, 16408866, 47875650, 139908774, 409404630, 1199368026, 3517351890, 10325547582, 30339113718, 89217594738, 262561101282, 773248631222, 2278737199606
OFFSET
1,1
LINKS
Stephen P Humphries, Cogrowth of groups and the Dedekind-Frobenius group determinant, Mathematical Proceeding of the Cambridge Philosophical Society volume 121 Part 2 pages 193-217 (1997).
FORMULA
G.f. (x+1) * sqrt(1-x) / sqrt((1-3*x) * (3*x^2+1)) [from Humphries]. - Sean A. Irvine, Feb 26 2018
D-finite with recurrence n*a(n) +(-3*n+1)*a(n-1) +2*(n+1)*a(n-2) -6*n*a(n-3) +3*(-n+6)*a(n-4) +9*(n-5)*a(n-5)=0. - R. J. Mathar, Aug 15 2025
CROSSREFS
Sequence in context: A004077 A271217 A202743 * A097090 A085403 A112478
KEYWORD
nonn
EXTENSIONS
More terms from Sean A. Irvine, Feb 26 2018
STATUS
approved