-688

Appears in sequences

• Expansion of sin(tan(x)/cosh(x)).at n=3A009517
• Expansion of e.g.f. arctan(sinh(x) * exp(x)).at n=6A012520
• exp(arcsinh(x)*sin(x))=1+2/2!*x^2+4/4!*x^4-40/6!*x^6-688/8!*x^8...at n=4A012596
• Expansion of e.g.f. arcsinh(sec(x) * log(x+1)).at n=7A012776
• McKay-Thompson series of class 30C for Monster.at n=45A058614
• Expansion of (1-x)^(-1)/(1-x^2+2*x^3).at n=19A077884
• G.f.: square root of weight enumerator of [16,7,6] DEC extended BCH code (cf. A085517).at n=8A109475
• Expansion of 3 * (b(q)^2/b(q^2)) / (c(q)^2/c(q^2)) in powers of q where b(), c() are cubic AGM theta functions.at n=10A128637
• Triangular sequence produced from symmetrical power of two matrices of the general type: M={{1, 3, 7, 31}, {3, 1, 3, 7}, {7, 3, 1, 3}, {31, 7, 3, 1}} with symmetrical primes of the type 2^n-1 A000668 instead of the 2^n of A129964.at n=11A130617
• McKay-Thompson series of class 30C for the Monster group with a(0) = -1.at n=45A132321
• a(n) = A140944(n+1) - 3*A140944(n).at n=49A140950
• Triangle of the numerators of coefficients c(n,k) = [x^k] P(n,x) of some polynomials P(n,x).at n=51A141904
• Triangle of coefficients of p(x,n) = (1/2)*(1-x)^(n+1)*Sum_{m >= 0} ((4*m+3)^n - (4*m+1)^n)*x^m, read by rows.at n=13A154854
• Numerator of Hermite(n, 4/5).at n=3A158967
• Irregular triangle read by rows: first row is 1, n-th row (n > 0) consists of the coefficients in the expansion of H(x;n)*(x + 1)^(n - 1)/2^floor(n/2), where H(x;n) is the Hermite polynomial of order n.at n=53A171531
• Expansion of phi(-q^3) / phi(-q^2) in powers of q where phi() is a Ramanujan theta function.at n=25A262966
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 390", based on the 5-celled von Neumann neighborhood.at n=43A271601
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 534", based on the 5-celled von Neumann neighborhood.at n=29A272789
• Convolution square of A285349.at n=13A285350
• Expansion of r(q^4) / r(q)^4 in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=19A285584