27412

Appears in sequences

• High temperature expansion of -u/J in odd powers of v = tanh(J/kT), where u is energy per site of the spin-1/2 Ising model on square lattice with nearest-neighbor interaction J at temperature T.at n=8A002908
• Number of integers in {1, 2, ..., Fibonacci(n)} that are coprime to n.at n=22A074934
• Numbers k such that there is a bigger number m satisfying A000203(k) = A000203(m) = m + k - gcd(m,k).at n=42A124140
• Numbers k such that k and k^2 use only the digits 1, 2, 4, 5 and 7.at n=17A136989
• a(n) = ((7+sqrt(3))^n + (7-sqrt(3))^n) / 2.at n=5A147962
• Number of triangular nXnXn 0..7 arrays with all rows and diagonals having the same length having the same sum, with corners zero.at n=4A195804
• Number of triangular of a 5 X 5 X 5 0..n arrays with all rows and diagonals having the same length having the same sum, with corners zero.at n=6A195806
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 221", based on the 5-celled von Neumann neighborhood.at n=33A270936
• E.g.f. satisfies A(x) = exp(x^2/2 + x * A(x)).at n=6A362747
• Proceeding from left to right, between any two consecutive digits (d_i, d_i+1) of an integer k, write down apart the lacking consecutive digits, in increasing order if d_i <d_i+1 or decreasing order if d_i>d_i+1. If abs(d_i - d_i+1) = 0 or 1 no digit is added. Sequence lists integers k that divide such resulting numbers.at n=6A381732