-2520

Appears in sequences

• G.f.: q * Product_{m>=1} (1-q^m)^8*(1-q^2m)^8.at n=15A002288
• Expansion of (1-4*x)^(9/2).at n=13A002424
• Exponential generating function is tanh(log(1+x)).at n=8A009775
• Expansion of Product_{k>=1} (1-x^k)^28.at n=3A010833
• Expansion of e.g.f. arctan(log(x+1) - tan(x)).at n=8A013237
• Expansion of e.g.f. tanh(log(x+1) - tan(x)).at n=8A013241
• cos(sin(x)-tan(x))=1-90/6!*x^6-2520/8!*x^8-126630/10!*x^10...at n=4A013355
• sech(sin(x)-tan(x))=1-90/6!*x^6-2520/8!*x^8-126630/10!*x^10...at n=4A013359
• E.g.f.: exp(arcsin(x)-arctan(x))=1+3/3!*x^3-15/5!*x^5+90/6!*x^6+945/7!*x^7...at n=8A013407
• cosh(arcsin(x)-arctan(x))=1+90/6!*x^6-2520/8!*x^8+368550/10!*x^10...at n=4A013413
• sec(arcsin(x)-arctan(x))=1+90/6!*x^6-2520/8!*x^8+368550/10!*x^10...at n=4A013414
• E.g.f.: exp(sinh(x)-tanh(x))=1+3/3!*x^3-15/5!*x^5+90/6!*x^6+273/7!*x^7...at n=8A013490
• Triangle giving coefficients of (n+1)!*B_n(x), where B_n(x) is a Bernoulli polynomial. Rising powers of x.at n=23A048998
• Triangle giving coefficients of (n+1)!*B_n(x), where B_n(x) is a Bernoulli polynomial, ordered by falling powers of x.at n=25A048999
• Generalized Stirling number triangle of first kind.at n=15A049458
• Matrix inverse of triangle A055140.at n=40A055141
• Triangle of coefficients of polynomials H(n,x) formed from the first (n+1) terms of the power series expansion of ( -x/log(1-x) )^(n+1), multiplied by n!.at n=22A075263
• Signed variant of A077012.at n=26A078921
• Triangle T(n,k) by rows: coefficient [x^(n-k)] of 2^n * n! *L(n,1/2,x), with L the generalized Laguerre polynomials in the Abramowitz-Stegun normalization.at n=13A098503
• Expansion of e.g.f. cos(i*log(1 + x)), i = sqrt(-1).at n=7A105752