-539

Appears in sequences

• Expansion of e.g.f. of exp(arcsinh(x)/exp(x)).at n=7A013572
• Coefficients of replicable function number 12c.at n=14A058491
• McKay-Thompson series of class 24a for Monster.at n=14A058584
• Expansion of (1-x)/(1-x+2*x^2+x^3).at n=18A078021
• The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n. 0<r<=n. e.g. the row corresponding to 4 contains 4, (3+2),{(1) +(0)+(-1)}, {(-2)+(-3)+(-4)+(-5)} ----> 4,5,0,-14 1 2 1 3 3 -3 4 5 0 -14 5 7 3 -10 -35 6 9 6 -6 -30 -69 ... Sequence contains the array by rows.at n=65A110425
• The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n. 0 < r <= n. Sequence contains the leading diagonal.at n=10A110427
• Expansion of (1-2x-5x^2-7x^3+x^6)/((1-x)(1-x^3)^2).at n=27A141352
• Expansion of (1-5x^2-7x^3-2x^4+x^6)/((1-x)(1-x^3)^2).at n=28A141365
• Expansion of 1/(1-x*(1-6*x)).at n=7A145934
• Square array A(n,k), n>=0, k>=0, read by antidiagonals: A(n,k) is the n-th term of the k-th differences of partition numbers A000041.at n=66A175804
• McKay-Thompson series of class 12c for the Monster group with a(0) = -4.at n=28A186930
• McKay-Thompson series of class 12c for the Monster group with a(0) = 4.at n=28A187045
• G.f. satisfies: A(x) = 1/Product_{n>=1} (1 - x^n/A(x^n)^n).at n=39A205777
• Table of coefficients of the algebraic number s(2*l+1) = 2*sin(Pi/(2*l+1)) as a polynomial in odd powers of rho(2*(2*l+1)) = 2*cos(Pi/(2*(2*l+1))) (reduced version).at n=60A228785
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 297", based on the 5-celled von Neumann neighborhood.at n=13A271151
• a(n) = [q^n] (1 - q)^n / Product_{j=1..n} (1 - q^j).at n=11A281425
• Triangle read by rows: T(n,k) = Sum_{i=0..n-1} binomial(n-1, i)*T(n-1-i,k-1) - Sum_{i=1..n-1} binomial(n-1,i)*T(n-1-i,k) for 1 <= k <= n+1 with T(0,1) = 1 (and T(n,k) = 0 otherwise).at n=40A341287
• a(n) = n! * Sum_{k=0..floor(n/4)} (-n/4)^k /(k! * (n-4*k)!).at n=6A362315