-458
domain: Z
Appears in sequences
- McKay-Thompson series of class 46A for the Monster group.at n=69A058688
- Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 6.at n=31A060025
- Expansion of (1-x)^(-1)/(1+2*x^2+x^3).at n=16A077894
- Column 1 of triangle A118231.at n=63A118232
- Expansion of f(-q)^2*P(q) in powers of q.at n=19A122163
- McKay-Thompson series of class 46A for the Monster group with a(0) = -1.at n=69A132322
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A115216; by antidiagonals.at n=17A202868
- Second differences of A038580.at n=41A245175
- G.f.: (1 - x/(1 - x^2/(1 - x^3/(1 - x^4/(1 - ...))))) * (1 + x/(1 + x^2/(1 + x^3/(1 + x^4/(1 + ...))))), a continued fraction.at n=23A285638
- G.f.: Product_{m>0} 1/(1 + x^m + 2*x^(2*m) + 3*x^(3*m)).at n=15A290395
- Triangle read by rows: T(n,k) = (-3)*T(n-1,k-1) + T(n,k-1) with T(2*m,0) = 0 and T(2*m+1,0) = (-2)^m.at n=33A292789
- G.f. A(x) satisfies: A(x) = 1/(1 + x*A(x) + x^2*A(x)/(1 + x^3*A(x) + x^4*A(x)/(1 + x^5*A(x) + x^6*A(x)/(1 + ...)))), a continued fraction.at n=12A301410
- a(n) = n - 2^(sum of digits of n).at n=54A328882
- a(1) = 1; a(n) = -Sum_{k=2..n} k^3 * a(floor(n/k)).at n=10A360658