-117

Appears in sequences

• McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B).at n=16A007258
• Expansion of e.g.f. cos(tanh(x)/cos(x)), even powers only.at n=3A009095
• Expansion of e.g.f.: log(1+sin(x))/exp(x).at n=6A009337
• Expansion of e.g.f. arcsinh(log(x+1)/exp(x)).at n=4A013564
• Expansion of Product_{m>=1} (1 - m*q^m)^9.at n=5A022669
• Derivative of log of A007360.at n=19A023892
• Expansion of tanh(sin(x)*x)/2.at n=3A024243
• McKay-Thompson series of class 6E for the Monster group with a(0) = 1.at n=16A045488
• Matrix 9th power of inverse partition triangle A038498.at n=16A050312
• Coefficients of the '6th-order' mock theta function phi(q).at n=37A053268
• McKay-Thompson series of class 10E for Monster.at n=56A058101
• Coefficients of polynomials ( (1 -x +sqrt(x))^n + (1 -x -sqrt(x))^n )/2.at n=49A061176
• a(n) = + 1 - 2 - 3 + 4 + 5 + 6 - 7 - 8 - 9 - 10 + 11 + 12 + 13 + 14 + 15 - ... + (+-1)*n, where there is one plus, two minuses, three pluses, etc. (see A002024).at n=36A064520
• a(n) = 5^n*cos(2*n*arctan(1/2)) or denominator of tan(2*n*arctan(1/2)).at n=3A066771
• Expansion of (1-x)/(1+2*x-x^2+x^3).at n=5A078058
• Sum at 45 degrees to horizontal in triangle of A081498.at n=24A081499
• First order recursion: a(0) = 1; a(n) = phi(n) - a(n-1) = A000010(n) - a(n-1).at n=36A083239
• a(n) = 1 - Sum_{k=2..n} k*k!.at n=2A092634
• This table shows the coefficients of sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to k, where k=[2*n+1+(-1)^(n-1)]/4 and T(i,k) satisfies F(n)= Sum_{i=1..k} T(i,k) * n^(k-i)/(k-1)!.at n=46A099731
• A Chebyshev transform of the odd numbers.at n=58A100052