-617
domain: Z
Appears in sequences
- Coefficients of the '2nd-order' mock theta function mu(q).at n=65A006306
- arctanh(arctan(arcsinh(x)))=x-1/3!*x^3+17/5!*x^5-617/7!*x^7+44417/9!*x^9...at n=3A012219
- Expansion of quotient of a Ramanujan false theta series by the theta series of triangular numbers in powers of x.at n=33A143065
- Primes or negative values of primes of the form 8*n^2 - 298*n + 2113 for n >= 0.at n=21A217439
- Primes or negative values of primes of the form 8*n^2 - 326*n + 2659 for n >= 0.at n=18A217440
- Values of n such that L(5) and N(5) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=28A226925
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 181", based on the 5-celled von Neumann neighborhood.at n=13A270629
- Expansion of 1 - x/(1 - x^3/(1 - x^6/(1 - x^10/(1 - x^15/(1 - x^21/(1 - ... - x^(n*(n+1)/2)/(1 - ...))))))), a continued fraction.at n=46A290976
- G.f.: Sum_{n>=0} (2*n+1) * x^n * (1 - x^n)^n.at n=36A326607
- a(n) = Sum_{k=1..n} mu(k)*k^3.at n=10A336277
- a(n) = Sum_{k=1..n} mu(k)*k^3.at n=11A336277
- a(n) = Sum_{d|n} (-1)^(d-1) * binomial(d+n/d-1, d).at n=31A338682