-147

Appears in sequences

• Expansion of a modular function.at n=8A006709
• E.g.f.: arctan(arctanh(x)*exp(x))=x+2/2!*x^2+3/3!*x^3-12/4!*x^4-147/5!*x^5...at n=5A012713
• Generalized Stirling number triangle of first kind.at n=26A051186
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 3.at n=43A060022
• Generalized sum of divisors function: third diagonal of A060184.at n=40A060186
• Coefficient array for certain numerator polynomials N4(n,x), n >= 0 (rising powers of x) used for quadrinomials.at n=63A063421
• a(n) = prime(n)-n*tau(n) where tau(n) is the number of divisors of n.at n=39A067292
• Expansion of (1-x)^(-1)/(1+2*x+x^3).at n=7A077926
• Expansion of 1/(1+x+2*x^2-x^3).at n=11A077978
• Matrix inverse of triangle A063967.at n=24A091698
• Expansion of (eta(q) * eta(q^39)) / (eta(q^3) * eta(q^13)) in powers of q.at n=70A094363
• Expansion of ((eta(q)eta(q^15))/(eta(q^3)eta(q^5)))^3 in powers of q.at n=16A095123
• Triangle read by rows giving the coefficients of general sum formulas of n-th Subfactorial numbers (A000166). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k-1, where T(i,k) satisfies Subf(n) = Sum_{k=1..n} Sum_{i=1..2*k-1} T(i,k) * C(n-k,i-1) * n^(n-k).at n=11A101560
• G.f. satisfies: A(x) = 1/(1 + x*A(x^4)) and also the continued fraction: 1 + x*A(x^5) = [1; 1/x, 1/x^4, 1/x^16, 1/x^64, ..., 1/x^(4^(n-1)), ...].at n=35A101914
• Coefficients of the B-Rogers-Selberg identity.at n=41A104409
• Antidiagonal sums of number triangle A106270.at n=6A106272
• An alternating sum of greatest common divisors.at n=62A106475
• Expansion of chi(-q) / chi(-q^7) in powers of q where chi() is a Ramanujan theta function.at n=67A113297
• Product of signed and unsigned Morgan-Voyce triangles.at n=58A123878
• Triangle read by rows: row n gives coefficients of increasing powers of x in characteristic polynomial of the matrix (-1)^n*M_n, where M_n is the tridiagonal matrix defined in the Comments line.at n=33A124037