-779

Appears in sequences

• Coefficients of modular function G_4(tau).at n=31A005762
• sin(arcsinh(x)*exp(x)) = x+2/2!*x^2+1/3!*x^3-12/4!*x^4-75/5!*x^5...at n=6A012585
• a(n) = (n+1)*(2-n)/2.at n=40A080956
• Consider the triangle in which the n-th row starts with n, contains n terms and the difference of successive terms is 1,2,3,... up to n-1. Sequence gives row sums.at n=18A081498
• Coefficients of the C-Rogers-Selberg identity.at n=49A104410
• a(n+4) = a(n+1) - a(n), a(0) = 1, a(1) = -4, a(2) = 0, a(3) = 1.at n=40A110064
• Row sums of number triangle related to the Jacobsthal numbers.at n=20A110325
• a(n) = -n^3 + 7*n^2 - 5*n + 1.at n=12A161708
• Triangle T(n,k) = 1 - A176304(k) - A176304(n-k) + A176304(n), read by rows.at n=22A176306
• Triangle T(n,k) = 1 - A176304(k) - A176304(n-k) + A176304(n), read by rows.at n=26A176306
• Expansion of x/(1-6*x+25*x^2).at n=5A188599
• a(n) = 2*sigma(n^2) - sigma(n)^2.at n=35A195735
• Alternating LCM-sum: a(n) = Sum_{k=1..n} (-1)^(k-1)*lcm(k,n).at n=40A199806
• The c coefficients of the transform a*x^2 + (4*a/k - b)*x + 4*a/k^2 + 2*b/k + c = 0 for a,b,c = 1,-1,-1, k = 1,2,3...at n=28A229526
• a(n) = a(n-1)^2 + a(n-1)*a(n-2)^2 - a(n-2)^4 with a(1) = 2, a(2) = 3.at n=4A242995
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 41", based on the 5-celled von Neumann neighborhood.at n=17A269875
• 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=15A272294
• Expansion of Product_{k>=1} ((1 - x^(2*k))/(1 - x^(2*k-1)))^k.at n=51A296046
• G.f. A(x) satisfies: 1/(1 - x) = A(x)*A(x^2)^2*A(x^3)^3*A(x^4)^4* ... *A(x^k)^k* ...at n=25A307648
• a(n) = 1*2 - 3*4 + 5*6 - 7*8 + 9*10 - 11*12 + 13*14 - ... + (up to n).at n=40A319373