-402
domain: Z
Appears in sequences
- Low-temperature partition function expansion for hexagonal lattice (Potts model, q=3).at n=20A057385
- McKay-Thompson series of class 30a for Monster.at n=17A058619
- Expansion of 1/(1+2*x+x^2-2*x^3).at n=11A077989
- Euler-Seidel matrix T(k,n) with start sequence e.g.f. 2x/(1+e^(2x)), read by antidiagonals.at n=30A099028
- Fibonacci central tridiagonal matrices as a triangular sequence from a recursive polynomial definition.at n=33A123974
- Said to have been posted at the web site mturk.amazon.com as a puzzle.at n=5A124170
- For n >= 2, n = Sum_{n/2<=k<=n, gcd(k,n)=1} a(k).at n=79A124406
- G.f.: A(x) = exp( Sum_{n>=1} A162552(n) * 2*A006519(n) * x^n/n ).at n=19A161803
- Series expansion of the reciprocal of the generating function of A068432.at n=43A207814
- Expansion of f(-x, -x^4) / f(x, x^4) in powers of x where f(,) is Ramanujan's two-variable theta function.at n=43A215594
- Expansion of phi(q) * phi(-q^3) * f(-q^12) / f(-q^4)^3 in powers of q where phi(), f() are Ramanujan theta functions.at n=23A254372
- The arithmetic function uhat(n,1,8).at n=66A291502
- a(0) = 1; a(n) = -Sum_{d|n} a(n-d).at n=55A293665
- Expansion of 1/(1 - x*Product_{k>=1} (1 - k*x^k)).at n=11A299209
- Expansion of Sum_{k>=1} x^k/(1 + x^k)^3.at n=29A320900
- G.f.: Product_{n>=1} (1 - 2*x^n)^3.at n=22A322216
- A Seidel matrix A(n,k) read by antidiagonals upwards.at n=31A323833
- A Seidel matrix A(n,k) read by antidiagonals upwards.at n=32A323833
- A Seidel matrix A(n,k) read by antidiagonals upwards.at n=39A323833
- a(n) = Sum_{k=1..n} mu(k) * k^(n - k).at n=7A344433