50520

Appears in sequences

• Theta series of D_6 lattice.at n=29A008428
• E.g.f.: sin(cos(x)-sech(x)) (even powers only).at n=5A013483
• arcsin(cos(x)-sech(x))=-4/4!*x^4+60/6!*x^6-1384/8!*x^8+50520/10!*x^10...at n=3A013484
• tan(cos(x)-sech(x))=-4/4!*x^4+60/6!*x^6-1384/8!*x^8+50520/10!*x^10...at n=3A013485
• arctan(cos(x)-sech(x))=-4/4!*x^4+60/6!*x^6-1384/8!*x^8+50520/10!*x^10...at n=3A013486
• Expansion of sin x + cos x + tan x + sec x.at n=10A029583
• Expansion of cos x + tan x + sec x.at n=10A029584
• A square array of quadratic-factorial numbers, read by antidiagonals.at n=50A082038
• Number of Abelian cubefree words over a 3-letter alphabet.at n=11A096168
• a(n) = 1728*n - 1320.at n=29A157263
• a(n) = sigma(2*n^3) - sigma(n^3).at n=28A225959
• Number of nonnegative integers with property that their base 10/7 expansion has n digits.at n=25A245431
• Number of length-4 0..n arrays with no repeated value greater than the previous repeated value.at n=13A269436
• Number of occurrences of k in the list of transitions t(j), j <= n!-1, of interchanges a(t(j)) <-> a(t(j)+1) created by Knuth's "Algorithm T" (Plain change transitions) to generate all permutations of n distinct elements, written as a triangle T(m,k), m = n-1 >= 1, k <= m.at n=31A321668
• a(n) is the determinant of the 2 X 2 matrix whose entries (when read by rows) are the n-th primes congruent to 1, 3, 5, 7 mod 8 respectively.at n=17A337145
• Expansion of e.g.f. -log( 1 - x^3 * exp(x) / 3! ).at n=10A346754
• Number of maximum sized subsets of {1..n} such that every pair of distinct elements has a different sum.at n=45A382398