58968

Appears in sequences

• a(n) = (3^n/n!)*Product_{k=0..n-1} (3*k + 1). 3-central binomial coefficients.at n=6A004987
• Theta series of tensor cube of A_2 lattice (dimension 8, det 3^12).at n=51A033688
• Maximization of sums of cubes of integer differences (b_[ i ]-i)^3 over permutations {b_[ i ], for i-1,2,...,n} on first n integers.at n=35A049031
• Golden rectangular box numbers: a(n) = n*A007067(n)*A007067(A007067(n)).at n=24A050510
• Numbers n such that sum of digits of n equals the sum of digits of n^3.at n=41A070276
• Longest cycle in range [A014137(n-1)..A014138(n-1)] of permutation A071661.at n=16A079439
• a(n) = T(n^3) - T(n), where T() are the triangular numbers (A000217).at n=7A085742
• Consider iteration of the function f(x) = sigma(phi(x)) = A062402(x). Sequence lists the numbers k such that the trajectory of k returns to k.at n=37A096998
• Numbers whose set of base 9 digits is {0,8}.at n=28A097255
• Numbers k such that the sums of the digits of k, k^2 and k^3 coincide.at n=17A111434
• Primitive numbers n such that the sums of the digits of n, n^2 and n^3 coincide (cf. A111434).at n=6A114135
• Number of base-3 "Punctual Birds" with n base-3 digits.at n=12A132135
• a(n) = n^5 - n^2.at n=9A135497
• Convolution square of A003114.at n=45A145467
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 0), (0, 1, -1), (1, 0, 0), (1, 1, 1)}.at n=8A150841
• Numbers with prime factorization pqr^3s^4.at n=16A190294
• Monotonic ordering of nonnegative differences 3^i-9^j, for 40>=i>=0, j>=0.at n=28A192157
• Monotonic ordering of nonnegative differences 9^i-3^j, for 40>= i>=0, j>=0.at n=26A192158
• Expansion of (theta_2(q)^8 + 4 * theta_2(q^2)^8) / 256 in powers of q^2.at n=33A204386
• Order of largest automorphism group of a Hadamard matrix of order 4n.at n=6A206707