-490

Appears in sequences

• sec(arcsin(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+107/4!*x^4-490/5!*x^5...at n=5A012909
• sec(sinh(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+107/4!*x^4-490/5!*x^5...at n=5A013023
• A Chebyshev transform of A099456 associated to the knot 9_44.at n=8A099457
• Expansion of 1/(1+x*(1-x)*c(-2*x)), c(x) the g.f. of A000108.at n=5A114190
• Triangle of Hankel transforms of binomial(n+k, k).at n=23A120247
• Expansion of 1/(x^5 - 2*x^4 + x^3 - 2*x^2 + x - 1).at n=24A129704
• Square array of Hankel transforms of binomial(n+k,floor((n+k)/2)), read by antidiagonals.at n=52A133815
• Triangle read by rows, T(n,k) = (-1)^k*{{n,k}} where {{n,k}} are the second-order Stirling set numbers, n>=0, 0<=k<=n/2.at n=23A137375
• Triangle: p(x) = (1 - t/c)*(1 - t)^(-x - b); c = 1/2; b = 1.at n=32A137376
• Moment sequence of tr(A^2) in USp(4).at n=7A138350
• Net increase in number of ON toothpicks at generation n in A151885.at n=33A151888
• Totally multiplicative sequence with a(p) = 7*(p-3) for prime p.at n=25A167317
• Expansion of (1+5x+sqrt(1+2x+9x^2))/(2(1+2x)).at n=10A186195
• Coefficients of expansion of 1/xi_0(y) (see A195980 for definition).at n=10A195981
• G.f.: Sum_{n>=1} Sum_{k=0..n} binomial(n,k) * x^(k^2) * (x^n - x^k)^(n-k), ignoring the constant term.at n=21A292808
• Matrix inverse of A360657.at n=41A360753
• Expansion of (1/x) * Series_Reversion( x*(1+x+x^4)/(1+x) ).at n=16A366102
• Partial alternating sums of the sigma_2 function: a(n) = Sum_{k=1..n} (-1)^(k+1) * sigma_2(k).at n=24A379921