-764
domain: Z
Appears in sequences
- Coefficients in 1/(1+P(x)), where P(x) is the generating function of the primes.at n=19A030018
- Expansion of (1-x)/(1+2*x-2*x^2-2*x^3).at n=7A078053
- a(n) = floor( prime(n-1)*A036263(n-2)/ A001223(n-1)).at n=41A094900
- Column 0 of the matrix log of triangle A118185, after term in row n is multiplied by n: a(n) = n*[log(A118185)](n,0), where A118185(n,k) = 4^(k*(n-k)).at n=4A118189
- G.f.: (1+x+x^2-sqrt(1+2x+3x^2-2x^3+x^4))*2.at n=15A129507
- a(n) = a(n-2) - (a(n-1) - a(n-2)) if (n mod 2) = 0, otherwise a(n) = a(n-1) - (a(n-3) - a(n-4)), with a(0) = 0, a(1) = 1, a(2) = -1, a(3) = 2.at n=33A135690
- Expansion of psi(-q^3) / f(q) where psi(), f() are Ramanujan theta functions.at n=19A139135
- Expansion of (phi(q) / phi(q^3) - 1) / 2 in powers of q where phi() is a Ramanujan theta function.at n=57A139139
- a(n) = 4 - 3*2^n.at n=8A165751
- Coefficients of partition Hermite-MacMahon polynomials: p(x,n)= If[n == 0, 1, HermiteH[n, x]*Sum[MacMahon[n-1, k-1]*x^(k - 1), {k, 1, n}]/2^Floor[n/2]].at n=39A171533
- Triangle T(n, k, q) = (1-q^n)*( binomial(n, k) - 1 ) + 1, with q = 4, read by rows.at n=11A174720
- Triangle T(n, k, q) = (1-q^n)*( binomial(n, k) - 1 ) + 1, with q = 4, read by rows.at n=13A174720
- A symmetrical triangle sequence: T(n, k) = q^k + q^(n-k) - q^n, with q=4.at n=16A176227
- A symmetrical triangle sequence: T(n, k) = q^k + q^(n-k) - q^n, with q=4.at n=19A176227
- A (-1,1) Somos-4 sequence associated with the elliptic curve y^2 + y = x^3 + x.at n=9A178384
- Expansion of 1/(1 + x/(1 + x^8/(1 + x^27/(1 + x^64/(1 + x^125/(1 + ... + x^(k^3)/(1 + ...))))))), a continued fraction.at n=47A291169
- Logarithmic transform of the triangular numbers A000217.at n=7A300455