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 A027632 Molien series for group Gamma_{3,0}(2). 0
 1, 1, 4, 6, 14, 23, 45, 72, 126, 195, 315, 472, 720, 1042, 1520, 2132, 2995, 4089, 5568, 7418, 9843, 12833, 16652, 21304, 27117, 34114, 42705, 52930, 65294, 79867, 97253, 117562, 141516, 169265, 201665, 238922, 282030, 331264, 387780, 451920, 525023, 607517 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Bernhard Runge, On Siegel modular forms, part II, Nagoya Math. J. 138, 179-197 (1995) Index entries for linear recurrences with constant coefficients, signature (2, 1, -3, -1, 1, 4, -2, -5, 3, 4, 0, -4, -3, 5, 2, -4, -1, 1, 3, -1, -2, 1). FORMULA G.f.: N_Hecke(x)*(1 + x^2)/((1 - x^2)*(1 - x^4)^3*(1 - x^6)*(1 - x^12)*(1 - x^14)) where N_Hecke(x)= 1 - x^2 + x^4 + 2*x^8 + x^10 + 2*x^12 + x^14 + 5*x^16 + x^18 + 6*x^20 + 2*x^22 + 6*x^24 + 2*x^26 + 6*x^28 + x^30 + 5*x^32 + x^34 + 2*x^36 + x^38 + 2*x^40 + x^44 - x^46 + x^48. MATHEMATICA CoefficientList[Series[-(1-x+x^2+2 x^4+x^5+2 x^6+x^7+5 x^8+x^9+6 x^10+2 x^11+6 x^12+2 x^13+6 x^14+x^15+5 x^16+x^17+2 x^18+x^19+2 x^20+x^22-x^23+x^24)/((-1+x)^7 (1+x)^3 (1-x+x^2) (1+x+x^2)^2 (1+x+x^2+x^3+x^4+x^5+x^6)), {x, 0, 30}], x] (* Peter J. C. Moses, Dec 22 2013 *) CROSSREFS Sequence in context: A210632 A097271 A126867 * A175722 A200186 A192782 Adjacent sequences:  A027629 A027630 A027631 * A027633 A027634 A027635 KEYWORD nonn,easy,nice AUTHOR EXTENSIONS More terms and formula from Francisco Salinas (franciscodesalinas(AT)hotmail.com), Dec 24 2001 More terms from Peter J. C. Moses, Dec 22 2013 STATUS approved

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Last modified January 20 10:09 EST 2022. Contains 350471 sequences. (Running on oeis4.)