55488

Appears in sequences

• Theta series of A*_17 lattice.at n=72A023929
• Expansion of (1-x)/(1 - x - x^3 - 2*x^4 + 2*x^5).at n=27A052914
• Variance of time for a random walk starting at 0 to reach one of the boundaries at +n or -n for the first time.at n=17A072819
• Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 297", based on the 5-celled von Neumann neighborhood.at n=7A271149
• a(n) = 54*n^2 + 6*n.at n=32A277990
• a(n) = 4*n*(n^2 + 2).at n=23A292022
• Number of chordless cycles in the complete tripartite graph K_{n,n,n}.at n=16A297662
• Number of business cards required to build an origami level n Jerusalem cube.at n=4A320660
• Maximum number of copies of a 1234 permutation pattern in an alternating (or zig-zag) permutation of length n + 5.at n=31A338429
• The smallest number such that n or more numbers k exist such that a(n) - k = sopfr(a(n)) + sopfr(k), where sopfr(m) is the sum of the primes dividing m, with repetition.at n=12A369351
• The smallest number such that n or more numbers k exist such that a(n) - k = sopfr(a(n)) + sopfr(k), where sopfr(m) is the sum of the primes dividing m, with repetition.at n=13A369351
• The smallest number such that exactly n numbers k exist such that a(n) - k = sopfr(a(n)) + sopfr(k), where sopfr(m) is the sum of the primes dividing m, with repetition.at n=13A370091