29056

Appears in sequences

• Number of distributive lattices; also number of paths with n turns when light is reflected from 5 glass plates.at n=8A006358
• a(n) is the n-th diagonal sum of left justified array T given by A027960.at n=32A027975
• Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 85.at n=37A031583
• 5-wave sequence.at n=36A038201
• Bottom line of 5-wave sequence A038201, also bisection of A006358.at n=4A038339
• a(n) = (3*12^n - 8^n)/2.at n=4A165152
• Triangle read by rows: T(n,k) = Sum_{i <= n, j <= k, (i,j) <> (n,k)} T(i,j), starting with T(1,1) = 1, for n >= 1 and 1 <= k <= n.at n=39A192933
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 121", based on the 5-celled von Neumann neighborhood.at n=14A285913
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 355", based on the 5-celled von Neumann neighborhood.at n=14A287781
• Abundant numbers whose abundance is a perfect number.at n=7A301859
• E.g.f.: A(x,y) = (cosh(x)*cosh(y) + sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where A(x,y) = Sum_{n>=0} Sum_{k>=0} T(n,k) * x^n*y^k/(n!*k!), as a square table of coefficients T(n,k) read by antidiagonals.at n=60A322190
• E.g.f.: C(x,y) = cosh(x)*cosh(y) / (1 - sinh(x)*sinh(y)), where C(x,y) = Sum_{n>=0} Sum_{k=0..2*n} T(n,k) * x^(2*n-k)*y^k/((2*n-k)!*k!), as a triangle of coefficients T(n,k) read by rows.at n=30A322193
• a(n) = [x^n*y^n/n!^2] (cosh(x)*cosh(y) + sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), for n >= 0.at n=5A322195
• Number of polyominoes of 2n cells with both diagonal symmetries, for which the 180-degree rotational symmetry has an axis that coincides with a vertex of a square, but without 90-degree rotational symmetry.at n=19A351160
• Practical numbers (A005153) that are abundant and have a record low value of abundancy index.at n=8A362052
• Number of labeled directed graphs on [n] with self loops allowed such that the following implication holds for all x,y in [n]. If x and y are in distinct strongly connected components then there is a directed edge from x to y or from y to x.at n=4A366350
• Expansion of x + 1/(-x - 1/(-x - 1/(-x - 1/(-x - 1/(-x + 1))))).at n=8A373569
• Numbers m with abundance 28: sigma(m) - 2*m = 28.at n=3A392383