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 A293936 Poincare series for invariant polynomial functions on the space of binary forms of degree 11. 13
 1, 0, 2, 0, 13, 13, 73, 110, 320, 529, 1160, 1893, 3569, 5633, 9600, 14636, 23246, 34233, 51618, 73716, 106678, 148325, 207652, 281963, 384141, 510882, 680155, 888201, 1159414, 1489689, 1911698, 2421067, 3060774, 3826640, 4774174, 5899837, 7274612, 8895981, 10853618, 13146996 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Many of these Poincare series has every other term zero, in which case these zeros have been omitted. LINKS Andries Brouwer, PoincarĂ© Series (See n=11) EXAMPLE The Poincare series is (1 + t^4 - t^6 + 10t^8 + 11t^10 + 58t^12 + 85t^14 + 222t^16 + 336t^18 + 660t^20 + 951t^22 + 1589t^24 + 2154t^26 + 3188t^28 + 4080t^30 + 5510t^32 + 6633t^34 + 8310t^36 + 9443t^38 + 11059t^40 + 11894t^42 + 13094t^44 + 13319t^46 + 13852t^48 + 13319t^50 + 13094t^52 + 11894t^54 + 11059t^56 + 9443t^58 + 8310t^60 + 6633t^62 + 5510t^64 + 4080t^66 + 3188t^68 + 2154t^70 + 1589t^72 + 951t^74 + 660t^76 + 336t^78 + 222t^80 + 85t^82 + 58t^84 + 11t^86 + 10t^88 - t^90 + t^92 + t^96) / (1 - t^4)(1 - t^6)(1 - t^8)(1 - t^10)(1 - t^12)(1 - t^14)(1 - t^16)(1 - t^18)(1 - t^20) MAPLE nmax := 120 : (1 + t^4 - t^6 + 10*t^8 + 11*t^10 + 58*t^12 + 85*t^14 + 222*t^16 + 336*t^18 + 660*t^20 + 951*t^22 + 1589*t^24 + 2154*t^26 + 3188*t^28 + 4080*t^30 + 5510*t^32 + 6633*t^34 + 8310*t^36 + 9443*t^38 + 11059*t^40 + 11894*t^42 + 13094*t^44 + 13319*t^46 + 13852*t^48 + 13319*t^50 + 13094*t^52 + 11894*t^54 + 11059*t^56 + 9443*t^58 + 8310*t^60 + 6633*t^62 + 5510*t^64 + 4080*t^66 + 3188*t^68 + 2154*t^70 + 1589*t^72 + 951*t^74 + 660*t^76 + 336*t^78 + 222*t^80 + 85*t^82 + 58*t^84 + 11*t^86 + 10*t^88 - t^90 + t^92 + t^96) / (1 - t^4)/(1 - t^6)/(1 - t^8)/(1 - t^10)/(1 - t^12)/(1 - t^14)/(1 - t^16)/(1 - t^18)/(1 - t^20) ; taylor(%, t=0, nmax) ; gfun[seriestolist](%) ; seq( %[1+2*i], i=0..nmax/2-1) ; # R. J. Mathar, Oct 26 2017 CROSSREFS For these Poincare series for d = 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 20, 24 see A097852, A293933, A097851, A293934, A293935, A293936, A293937, A293938, A293939, A293940, A293941, A293942, A293943 respectively. Sequence in context: A107700 A274107 A122688 * A110685 A225480 A286118 Adjacent sequences:  A293933 A293934 A293935 * A293937 A293938 A293939 KEYWORD nonn AUTHOR N. J. A. Sloane, Oct 20 2017 STATUS approved

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Last modified October 17 08:36 EDT 2019. Contains 328107 sequences. (Running on oeis4.)