-504

Appears in sequences

• Expansion of (1-4*x)^(9/2).at n=11A002424
• Nearest integer to -4n/Bernoulli(2n).at n=3A003245
• a(n) = floor((-4n)/Bernoulli(2n)).at n=3A003264
• a(n) = ceiling((-4n)/Bernoulli(2n)).at n=3A003272
• Zero-field low-temperature series for 3-state Potts model.at n=21A007271
• Expansion of log(1+x)*cos(sinh(x)).at n=8A009407
• Expansion of log(1+x)*cos(tanh(x)).at n=8A009409
• Expansion of log(1+x)/cosh(sin(x)).at n=8A009431
• Expansion of e.g.f. log(1+x)/cosh(tan(x)).at n=8A009433
• E.g.f. sin(x*exp(x)).at n=6A009448
• sin(arcsinh(x)*exp(x)) = x+2/2!*x^2+1/3!*x^3-12/4!*x^4-75/5!*x^5...at n=7A012585
• E.g.f.: sin(arctanh(x)*log(x+1)) = 2/2!*x^2 - 3/3!*x^3 + 16/4!*x^4 - 50/5!*x^5 + ...at n=7A012698
• arcsinh(arctanh(x)*log(x+1)) = 2/2!*x^2-3/3!*x^3+16/4!*x^4-50/5!*x^5...at n=7A012704
• tanh(sec(x)*arcsinh(x))=x-504/7!*x^7+11904/9!*x^9-1023616/11!*x^11...at n=3A012829
• Expansion of Eisenstein series E_6(q) (alternate convention E_3(q)).at n=1A013973
• Expansion of sin(log(1+x)^2)/2.at n=7A024334
• Generalized Stirling number triangle of first kind.at n=6A051339
• Cusp form of weight 13/2 associated to the unique cusp form of weight 12 under Shimura correspondence.at n=35A054891
• Regard triangle of rencontres numbers (see A008290) as infinite matrix, compute inverse, read by rows.at n=49A055137
• Low-temperature susceptibility expansion for hexagonal lattice (Potts model, q=4).at n=14A057387