OFFSET
0,5
COMMENTS
Many of these Poincaré series has every other term zero, in which case these zeros have been omitted.
LINKS
Andries Brouwer, Poincaré Series (See n=10)
EXAMPLE
The Poincaré series is (1 - t^5 + 2t^6 - t^7 + 4t^8 + 4t^9 + 8t^10 + 6t^11 + 16t^12 + 9t^13 + 17t^14 + 15t^15 + 19t^16 + 12t^17 + 23t^18 + 12t^19 + 19t^20 + 15t^21 + 17t^22 + 9t^23 + 16t^24 + 6t^25 + 8t^26 + 4t^27 + 4t^28 - t^29 + 2t^30 - t^31 + t^36) / (1 - t^2)(1 - t^4)(1 - t^5)(1 - t^6)^2(1 - t^7)(1 - t^8)(1 - t^9)
MAPLE
nmax := 120 :
(1 - t^5 + 2*t^6 - t^7 + 4*t^8 + 4*t^9 + 8*t^10 + 6*t^11 + 16*t^12 + 9*t^13 + 17*t^14 + 15*t^15 + 19*t^16 + 12*t^17 + 23*t^18 + 12*t^19 + 19*t^20 + 15*t^21 + 17*t^22 + 9*t^23 + 16*t^24 + 6*t^25 + 8*t^26 + 4*t^27 + 4*t^28 - t^29 + 2*t^30 - t^31 + t^36) / (1 - t^2)/(1 - t^4)/(1 - t^5)/(1 - t^6)^2/(1 - t^7)/(1 - t^8)/(1 - t^9) ;
taylor(%, t=0, nmax) ;
gfun[seriestolist](%) ;
seq( %[1+i], i=0..nmax/2-1) ; # R. J. Mathar, Oct 26 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Oct 20 2017
STATUS
approved