-415

Appears in sequences

• a(n) = -Sum_{k = 0..n-1} (n+k)!a(k)/(2k)!.at n=7A007682
• Expansion of e.g.f.: 1/cos(sin(x)) (even-indexed coefficients only).at n=4A009008
• Triangle inverse to that in A046899.at n=28A046900
• Coefficients of the '6th-order' mock theta function 2 mu(q).at n=24A053273
• Expansion of 1/(1+x+2*x^2-2*x^3).at n=13A077977
• E.g.f. sec(arcsinh(x)) = cosec(arccosh(x)) (even powers only).at n=4A102072
• a(n) = Sum_{k=0..n} A105595(k)*(-1)^k*A105595(n-k) (interpolated zeros suppressed).at n=27A105596
• Inverse Euler transform of A118052.at n=51A118054
• Said to have been posted at the web site mturk.amazon.com as a puzzle.at n=3A124170
• Expansion of (1/3) * (c(q)^2 / c(q^2)) / (b(q^2)^2 / b(q)) in powers of q where b(), c() are cubic AGM theta functions.at n=9A128641
• Expansion of (1-5x^2-7x^3-2x^4+x^6)/((1-x)(1-x^3)^2).at n=24A141365
• Expansion of c(q^3) / (c(q^3) + c(q^6)) where c() is a cubic AGM function.at n=27A145977
• Triangle of coefficients of p(x,n) = (1/4)*(1-x)^(n+1)*Sum_{m >= 0} ((2*m- 1)^n - (2*m+3)^n)*x^m, read by rows.at n=16A154852
• Riordan's general Eulerian recursion: T(n, k) = (k+2)*T(n-1, k) + (n-k-1) * T(n-1, k-1) with T(n,1) = 1, T(n,n) = (-1)^(n-1).at n=32A157013
• a(n)=(5/3)*(1+2*(-5)^(n-1)).at n=4A165625
• Triangle T(n,m)= binomial(2*n,m) + binomial(2*n,n-m) -binomial(2*n,n) read by rows.at n=29A176564
• Triangle T(n,m)= binomial(2*n,m) + binomial(2*n,n-m) -binomial(2*n,n) read by rows.at n=34A176564
• A triangle sequence from coefficients of an infinite sum polynomial: p(x,n)=Sum[(n - k - 1)^n*Binomial[x, k], {k, 0, Infinity}]/2^(x - n).at n=18A176863
• Numerators of coefficients in asymptotic expansion of log z + psi(z+1/z), where psi is the digamma function.at n=14A222803
• A bisection of A222803.at n=7A222805