-664

Appears in sequences

• tanh(arcsin(arcsinh(x)))=x-2/3!*x^3+24/5!*x^5-664/7!*x^7+36096/9!*x^9...at n=3A012118
• exp(arctan(arcsinh(x)))=1+x+1/2!*x^2-2/3!*x^3-11/4!*x^4+24/5!*x^5...at n=7A012213
• sinh(arctan(arcsinh(x)))=x-2/3!*x^3+24/5!*x^5-664/7!*x^7+28416/9!*x^9...at n=3A012216
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 4.at n=46A060023
• a(n) = (-1)^n + (-2)^n - (-3)^n.at n=6A083321
• Square table, read by antidiagonals, of coefficients of x^k in the n-th self-composition of the g.f. of A120009, so that: T(n,k) = [x^k] { (x-x^2) o x/(1-n*x) o (1-sqrt(1-4*x))/2 } for n>=1, k>=1.at n=34A120013
• Expansion of (sqrt(1-4x)-x)/(1-4x).at n=7A127275
• Triangle read by rows: n-th row (n>=0) gives coefficients of characteristic polynomial of n X n generalized Cartan matrix M defined in Comments.at n=39A136678
• a(n) = 1 + 3*n - 2*n^2.at n=19A168244
• Deleham triangle [1,1,-1,1,1,-1,1,...] DELTA [1,0,0,1,0,0,1,0,...], DELTA defined in A084938.at n=58A174014
• G.f. A(x) satisfies A(x) = 1 + x * A(x) / A(x^2).at n=31A218033
• G.f.: Product_{k>=1} 1/(1+x^k)^k.at n=37A255528
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 513", based on the 5-celled von Neumann neighborhood.at n=42A272704
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 742", based on the 5-celled von Neumann neighborhood.at n=43A273485
• Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = sqrt(6)/2.at n=49A279594
• Expansion of q^(-2/5) * (r(q^2) - r(q)^2) / 2 in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=47A285554
• Triangle read by rows: Polynomial coefficients per comment.at n=24A290053
• Square array read by antidiagonals downwards: A(n, k) = (Sum_{i=1..n} i^k) - (n+1)^k for n >= 1, k >= 1.at n=22A290844
• Expansion of the series reversion of x/(1 + x^2/(1 + x^3/(1 + x^4/(1 + x^5/(1 + ...))))), a continued fraction.at n=13A291377
• Expansion of Sum_{k>=0} x^(k*(k+1)/2) / Product_{j=1..k} (1 + j*x^j).at n=28A306704