-555
domain: Z
Appears in sequences
- E.g.f. sin(sin(x)*exp(x)).at n=7A009483
- Expansion of e.g.f. sinh(log(1+x))*cosh(x).at n=6A009573
- Expansion of tan(log(1+x))*cos(x).at n=6A009642
- Expansion of e.g.f.: arctan(sech(x)*log(x+1))=x-1/2!*x^2-3/3!*x^3+12/4!*x^4+43/5!*x^5...at n=6A012873
- a(n+1) = a(n) - a(floor(n/2)), with a(0)=0, a(1)=1.at n=56A062187
- a(0) = 1, a(1) = 2, a(2) = 5; for n >= 3, a(n) = a(n - 1) - 2*a(n - 2) + a(n - 3).at n=23A121311
- Integral form of A137286: Triangle of coefficients of Integral form of recursive orthogonal Hermite polynomials given in Hochstadt's book: n*IP(x, n) = x*P(x, n ) - n*P'(x, n - 2); derived to a constant from the differential recursion: P''(x,n)=x*P'(x,n)-n*P(x,n).at n=30A136262
- Triangle T(n,k), n>=1, 0<=k<=2n(n+1), read by rows: row n gives the coefficients of the chromatic polynomial of the Aztec diamond graph of order n, highest powers first.at n=8A185442
- Expansion of eta(q)^9 * eta(q^5)^3 in powers of q.at n=14A227900
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 307", based on the 5-celled von Neumann neighborhood.at n=13A271167
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 417", based on the 5-celled von Neumann neighborhood.at n=15A272019
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 425", based on the 5-celled von Neumann neighborhood.at n=15A272092
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 461", based on the 5-celled von Neumann neighborhood.at n=13A272294
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 489", based on the 5-celled von Neumann neighborhood.at n=17A272513
- a(n) = coefficient of x^(2*n-1)/(2*n-1)! in the odd function A(x) = Integral Product_{n>=1} 1/(1 + x^(2*n))^((2*n-1)/(2*n)) dx.at n=3A357229