-820
domain: Z
Appears in sequences
- Triangle of Lehmer-Comtet numbers of the first kind.at n=48A008296
- Revert transform of x*(1 + 2*x)/(1 + 3*x + x^2).at n=15A049122
- Expansion of psi(x^3) / psi(x) in powers of x where psi() is a Ramanujan theta function.at n=39A101195
- Row sums of inverse of sequence array for Euler phi function.at n=39A106480
- First differences of A072272.at n=59A170878
- Exponential Riordan array (1,sin(x)).at n=38A185690
- Expansion x^2*cotan(x)/(exp(x^2*cotan(x))-1) = Sum_{n>=0} a(n)*x^n/(n+1)!^2.at n=4A199541
- Triangle read by rows: matrix inverse of the central factorial numbers T(2*n, 2*k) (A036969).at n=11A204579
- G.f. A(x) satisfies: prime(n-1) iteration of A(x) yields a zero coefficient of x^n for n>2.at n=5A227886
- Expansion of f(-q)^10 / f(-q^5)^2 in power of q where f() is a Ramanujan theta function.at n=11A243939
- Alternating sum of 11-gonal (or hendecagonal) numbers.at n=19A266087
- Expansion of Product_{k>=1} (1 + x^(3*k))^(3*k) / (1 + x^k)^k.at n=26A285294
- E.g.f. A(x,k) satisfies: sin(A(x,k)) = k * sin(x).at n=11A291560
- a(n) = 1*2 - 3*4 + 5*6 - 7*8 + 9*10 - 11*12 + 13*14 - ... + (up to n).at n=39A319373
- a(n) = 2*1 - 4*3 + 6*5 - 8*7 + 10*9 - 12*11 + 14*13 - 16*15 + ... - (up to the n-th term).at n=39A319885
- Fourth column of A008296.at n=6A345651
- Triangle read by rows. The matrix inverse of A354794. Equivalently, the Bell transform of cfact(n) = -(n - 1)! if n > 0 and otherwise 1/(-n)!.at n=59A354795
- Expansion of Sum_{k>0} x^(2*k)/(1+x^k)^3.at n=40A363022
- G.f. A(x) satisfies A(x) = (1 + x / A(x)^(9/2)) / (1 - x).at n=4A366407
- Triangle read by rows: T(n, k) = numerator(CF(n, k)) where CF(n, k) = n! * [x^k] [t^n] (t/2 + sqrt(1 + (t/2)^2))^(2*x).at n=59A370705