-270

Appears in sequences

• Expansion of Product_{k >= 1} (1 - x^k)^6.at n=38A000729
• a(n) = (3^n/n!)*Product_{k=0..n-1} (3*k - 1).at n=4A004990
• Low-temperature series for magnetization in zero-field 3-state Potts model on cubic lattice.at n=15A007270
• Expansion of Product_{m>=1} (1 + m*q^m)^-3.at n=11A022695
• Apply the "Stirling-Bernoulli transform" to A000081 = (1,1,1,2,4,9,20,...), rooted trees.at n=5A051784
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 3.at n=58A060022
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 5.at n=29A060024
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 9.at n=32A060028
• Expansion of Product_{k>=1} (1 - 2x^k).at n=68A070877
• Start with 1, add the next number if one gets a prime then add the next number else subtract the next...at n=27A074170
• Expansion of (1-x)^(-1)/(1-x+x^2+2*x^3).at n=16A077873
• Triangle, read by rows, where the n-th row lists the (2*n+1) coefficients of (1 + x - 3*x^2)^n.at n=44A084614
• Triangle of coefficients, read by rows, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = (1+x) - x^2*(1+x)^3 + xy*f(x,y)^3.at n=23A086634
• Expansion of eta(q^2) * eta(q^30) / (eta(q^3) * eta(q^5)) in powers of q.at n=68A094022
• 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=53A110425
• Riordan array (1,x(1-3x)).at n=41A110517
• a(n) = -n^2 - n + 72.at n=18A110678
• Sum(mu(i)*sigma(j): i+j=n), with mu=A008683 and sigma=A000203.at n=56A112964
• Triangle read by rows: a(n,m)=(2*n-1)*(n-m)*(n+m+1)/2, where n is the column and m the row index.at n=41A120476
• Cumulant expansion numbers: Coefficients in expansion of log(1 + Sum_{k>=1} x[k]*(t^k)/k!).at n=26A127671