92680
domain: N
Appears in sequences
- Number of n-bead necklaces with exactly five different colored beads.at n=8A056285
- Number of primitive (period n) n-bead necklaces with exactly five different colored beads.at n=8A056290
- Largest term in periodic part of continued fraction expansion of square root of 2^n + 1 or 0 if 2^n + 1 is a square.at n=30A077624
- Largest term in periodic part of continued fraction expansion of square root of -1+2^n or 0 if -1+2^n is square.at n=30A077625
- a(n) = A055086(2^n).at n=30A078159
- Triangle read by rows: T(n,k) is the number of n-bead necklaces with exactly k different colored beads.at n=40A087854
- Values of s in Wolfram's iteration for sqrt(2).at n=15A095804
- Expansion of b(q^2) * c(q^6) / (b(q) * c(q^3)) in powers of q where b(), c() are cubic AGM theta functions.at n=30A123629
- Expansion of c(q^2) * b(q^6) / (b(q) * c(q) * b(q^3) * c(q^3))^(1/2) in powers of q where b(), c() are cubic AGM theta functions.at n=31A212484
- Number T(n,k) of primitive (= aperiodic) n-bead necklaces with colored beads of exactly k different colors; triangle T(n,k), n >= 0, 0 <= k <= n, read by rows.at n=50A254040
- Expansion of f(-x, -x^5)^3 / (f(x, x^5) * f(-x^2, -x^2)^2) in powers of x where f(, ) is Ramanujan's general theta function.at n=20A260057
- Expansion of f(x, x^5)^3 / (f(-x, -x^5) * f(-x^2, -x^2)^2) in powers of x where f(, ) is Ramanujan's general theta function.at n=20A260150
- E.g.f.: Log( Sum_{n>=0} (n + y)^(2*n) * x^n/n! ) = Sum_{n>=1} Sum_{k=0..n+1} T(n,k) * x^n*y^k/n!, as a triangle of coefficients T(n,k) read by rows.at n=14A266521
- Triangle read by rows: T(n,k) is the number of non-isomorphic colorings of a toroidal n X k grid using exactly five colors under translational symmetry, 1 <= k <= n.at n=5A294687
- a(1) = 24603, a(n) = n*a(n-1) but products that are not in A010784 are first reduced as in A320486 (see comments); continue until zero is reached.at n=22A321148
- Three-column array giving list of primitive triples for integer-sided triangles with A < B < C < 2*Pi/3 and such that FA, FB, FC are also integers where F is the Fermat point of the triangle.at n=17A352360
- Number of colorings of a toroidal n X n grid using exactly five colors under translational symmetry.at n=2A376825