-469

Appears in sequences

• Generalized sum of divisors function.at n=22A002130
• a(n+1) = a(n) - a(floor(n/2)), with a(0)=0, a(1)=1.at n=51A062187
• Triangle T(n,k) read by rows: consider the sequence a(m) = a(m-1) + sum_{0<j<=m/n} a(m-j*n) with a(0)=1. Row n of T(n,k) is formed by the coefficients of the recurrence relation of sequence b(i) = a(n*i).at n=33A113445
• Triangle c(n,k) of the numerators of coefficients [x^k] P(n,x) of the polynomials P(n,x) of A129891.at n=30A140749
• Triangle read by rows: vector recursion: s=5; v(n)={s^(n+1),s^(n+1)-Sum[s^i,{i,2,n}],s^n,...,-1}/s^2.at n=16A152862
• A triangle sequence of polynomial coefficients:p(x,n)=Sum[Binomial[n, k]*(-x)^k*Sum[StirlingS2[n, m]*x^m, {m, 0, n - k}], {k, 0, n}].at n=32A174859
• Array of coefficients of polynomials providing the third term of the numerator of the generating function for odd powers (2*m+1) of Chebyshev S-polynomials. The present polynomials are called P(m;2,x^2), m >= 2.at n=8A217479
• The y-axis intercept of the line y = n*x + b tangent to the curve y = prime(k), k = 1, 2, 3, ....at n=7A232879
• Numerators of a semi-convergent series leading to the second Stieltjes constant gamma_2.at n=3A262384
• Expansion of (1-q)^k/Product_{j=1..k} (1-q^j) for k=16.at n=3A275644
• G.f.: A(x) = Sum_{n=-oo..+oo} (x - x^n)^n.at n=53A290003
• Expansion of q * f(-q^1, -q^6)^3 / f(-q^2, -q^5)^2 * f(-q^3, -q^4) in powers of q where f() is Ramanujan's two-variable theta function.at n=29A305443
• Expansion of Product_{k>=1} (1 - (x*(1 - x))^k).at n=18A327671
• a(n) = Sum_{k=1..n} mu(k)*k^2.at n=18A336276
• a(n) = Sum_{k=1..n} mu(k)*k^2.at n=19A336276
• a(1) = 1; a(n) = -Sum_{d|n, d < n} A341512(n/d) * a(d), where A341512(n) = sigma(n)*A003961(n) - n*sigma(A003961(n)).at n=17A347096
• G.f. A(x) satisfies A(x) = 1/(1+x) + x^2 * (d/dx A(x)^2).at n=6A386265