-179

Appears in sequences

• Coefficients of the 3rd-order mock theta function f(q).at n=36A000025
• Coefficient of q^(2n) in the series expansion of Ramanujan's mock theta function f(q).at n=18A000039
• Unique attractor for (RIGHT then MOBIUS) transform.at n=51A007554
• a(n) = 4^n - n^5.at n=3A024041
• Smallest (in magnitude) nonzero number m such that n!+m is prime.at n=50A053714
• Signed distance of primes from LCM(1,...,x) being closest to it. Arguments x were selected from A000961 (powers of primes including primes) in order to use distinct values of LCM exactly once. When both closest primes are in the same distance, then negative were used.at n=53A058030
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 4.at n=30A060023
• a(n) = mu(n)*prime(n).at n=40A062007
• Signed primes: if prime(n) even, a(n) = 0; if prime(n) == 1 (mod 4), a(n) = prime(n); if prime(n) == -1 (mod 4), a(n) = -prime(n).at n=40A073579
• Expansion of (1-x)^(-1)/(1+2*x^2+2*x^3).at n=13A077895
• Expansion of 1/(1+x-2*x^2+2*x^3).at n=7A077970
• a(n) = 1/2 + (1-6*n)*(-1)^n/2.at n=60A084060
• Triangle read by rows giving the coefficients of general sum formulas of n-th Subfactorial numbers (A000166). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k-1, where T(i,k) satisfies Subf(n) = Sum_{k=1..n} Sum_{i=1..2*k-1} T(i,k) * C(n-k,i-1) * n^(n-k).at n=13A101560
• Inverse Boustrophedon transform of 2^n.at n=10A102590
• Expansion of x*(1-x)/(1-x+2*x^3-x^4).at n=25A104554
• Diagonal sums of Riordan array (1-x-x^2,x(1-x)).at n=21A109266
• Diagonal sums of triangle A110324.at n=18A110326
• Let qf(a,q) = Product(1-a*q^j,j=0..infinity); g.f. is qf(q,q^7)*qf(q^2,q^7)*qf(q^4,q^7)/(qf(q^3,q^7)*qf(q^5,q^7)*qf(q^6,q^7)).at n=77A111375
• Sum(mu(i)*phi(j): i+j=n), with mu=A008683 and phi=A000010.at n=53A112962
• Expansion of psi(-q)/psi(-q^2) in powers of q where psi() is a Ramanujan theta function.at n=35A116498