-142

Appears in sequences

• Unique attractor for (RIGHT then MOBIUS) transform.at n=48A007554
• Imaginary Rabbits: imaginary part of a(0)=i; a(1)=-i; a(n) = a(n-1) + i*a(n-2), with i = sqrt(-1).at n=16A014291
• Expansion of Product_{m >= 1} (1 + q^m)^(-2).at n=23A022597
• Inverse Euler transform of {1, primes}.at n=32A030011
• Expansion of eta(q)^2 * eta(q^2) * eta(q^4) * eta(q^8)^2 in powers of q.at n=72A030207
• Expansion of q^(-1/2) * (eta(q) * eta(q^3))^3 in powers of q.at n=39A030208
• 7th differences of primes.at n=49A036268
• Shifts left under inverse Euler transform.at n=25A038071
• a(n) = n^2 - primefloor(n)*primeceiling(n).at n=73A056139
• Image of primes (A000040) under "little Hankel" transform that sends [c_0, c_1, ...] to [d_0, d_1, ...] where d_n = c_n^2 - c_{n+1}*c_{n-1}.at n=21A056221
• Triangle of numbers (when unsigned) related to congruum problem: T(n,k)=k^2+2nk-n^2 with n>k>0 and starting at T(2,1)=1.at n=66A057105
• Generalized sum of divisors function: third diagonal of A060184.at n=42A060186
• a(n) = 2*n*mu(n).at n=70A062004
• Sum_{k=1..n} p(k)*mu(k).at n=32A062820
• Expansion of (1-x)^(-1)/(1-x+2*x^2+2*x^3).at n=9A077878
• Expansion of q^(-1/24) (m (1-m) / 16)^(1/24) in powers of q, where m = k^2 is the parameter and q is the nome for Jacobian elliptic functions.at n=25A081360
• 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=11A081498
• Series expansion of the Ramanujan-Goellnitz-Gordon continued fraction.at n=71A092869
• Table (read by rows) giving the coefficients of sum formulas of n-th Lucas numbers (A000204). 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 L(n) = Sum_{i=1..k} T(i,k) * n^(k-i) / (k-1)!.at n=13A101032
• G.f. A(x) satisfies A(x)^3 = A(x^3) + 3*x.at n=8A107092