-945

Appears in sequences

• cosh(log(x+1)-arcsinh(x))=1+3/4!*x^4-30/5!*x^5+180/6!*x^6-945/7!*x^7...at n=7A013279
• sec(log(x+1)-arcsinh(x))=1+3/4!*x^4-30/5!*x^5+180/6!*x^6-945/7!*x^7...at n=7A013280
• exp(arcsinh(x)-arctanh(x)) = 1-3/3!*x^3-15/5!*x^5+90/6!*x^6-945/7!*x^7...at n=7A013494
• Triangle of coefficients in expansion of (x-1)*(x-3)*(x-5)*...*(x-(2*n-1)).at n=15A039757
• Triangle of B-analogs of Stirling numbers of first kind.at n=20A039758
• a(n) = a(n-1) - a(n-3) with a(1)=0, a(2)=0, a(3)=1.at n=53A050935
• 2-adic factorial function.at n=9A055634
• Generalized sum of divisors function: third diagonal of A060044.at n=24A060045
• Coefficients of unitary Hermite polynomials He_n(x).at n=55A066325
• Triangular table of coefficients of the Hermite polynomials, divided by 2^floor(n/2).at n=55A067613
• Triangle read by rows. The triangle is constructed from the coefficients of the n-th derivative of the normal probability distribution function.at n=53A073278
• Triangle read by rows. The triangle is constructed from the coefficients of the n-th derivative of the normal probability distribution function.at n=65A073278
• Start with 1, add the next number if one gets a prime then add the next number else subtract the next...at n=45A074170
• Expansion of (1-x)/(1-x+2*x^2-x^3).at n=25A078019
• Expansion of (1-x)/(1+x+x^2+2*x^3).at n=23A078047
• a(n) = (n+1)*(2-n)/2.at n=44A080956
• Triangle of coefficients of numerators of powers of e^2 in Sum_{k>=1} {1 / (1 + (k+1/2)^2*Pi^2)^n} + {4^n / (4+Pi^2)^n}.at n=26A085471
• Coefficients of polynomial in x multiplying sinh(x) in the modified spherical Bessel function of the first kind i_n(x).at n=17A094674
• Irregular triangle T(n,k) of nonzero coefficients of the modified Hermite polynomials (n >= 0 and 0 <= k <= floor(n/2)).at n=30A096713
• Triangle read by rows giving the coefficients of general sum formulas of n-th Lucas numbers (A000204). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k-1, where T(i,k) satisfies L(n) = Sum_{k=1..n} Sum_{i=1..2*k-1} T(i,k) * C(n-k,i-1) * n^(n-k) / (n-1)!.at n=11A101033