The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A062246 McKay-Thompson series of class 27c for the Monster group. 5
 1, -1, -1, 0, 0, 1, 0, 1, 0, 1, -1, -1, -1, 0, 1, -1, 1, 0, 2, -2, -2, -1, 1, 2, -1, 2, 1, 3, -3, -3, -2, 1, 3, -2, 3, 0, 5, -5, -5, -3, 1, 5, -3, 5, 1, 7, -7, -7, -5, 2, 7, -4, 7, 1, 11, -11, -11, -6, 3, 11, -6, 11, 2, 15, -15, -15, -10, 4, 15, -9, 14, 2, 22, -22, -22, -13, 6, 21, -12, 21, 4, 30, -30, -30, -19, 8, 29, -17, 28, 4, 42 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,19 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..10000 D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994). J. McKay and A. Sebbar, Fuchsian groups, automorphic functions and Schwarzians, Math. Ann., 318 (2000), 255-275. Index entries for McKay-Thompson series for Monster simple group FORMULA Expansion of q^(1/3) * eta(q) / eta(q^9) in powers of q. Euler transform of period 9 sequence [ -1, -1, -1, -1, -1, -1, -1, -1, 0, ...]. a(n) = (-1)^n * A062245(n). a(n) = -(1/n)*Sum_{k=1..n} A116607(k)*a(n-k), a(0) = 1. - Seiichi Manyama, Mar 25 2017 EXAMPLE 1 - x - x^2 + x^5 + x^7 + x^9 - x^10 - x^11 - x^12 + x^14 - x^15 + x^16 + ... T27c = 1/q - q^2 - q^5 + q^14 + q^20 + q^26 - q^29 - q^32 - q^35 + q^41 - ... MATHEMATICA QP = QPochhammer; s = QP[q]/QP[q^9] + O[q]^90; CoefficientList[s, q] (* Jean-François Alcover, Nov 12 2015 *) PROG (PARI) {a(n) = local(A); if( n<0, 0, A = x * O(x^n); polcoeff( eta(x + A) / eta(x^9 + A), n))} /* Michael Somos, Jun 26 2004 */ CROSSREFS Cf. A007706, A062245. Sequence in context: A327342 A297828 A062245 * A034095 A037811 A091237 Adjacent sequences: A062243 A062244 A062245 * A062247 A062248 A062249 KEYWORD sign AUTHOR N. J. A. Sloane, Jul 01 2001 EXTENSIONS Additional comments from Michael Somos, Jun 28 2004 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 22 10:00 EDT 2023. Contains 365520 sequences. (Running on oeis4.)