114048

Appears in sequences

• Triangle of coefficients in expansion of sinh^2(n*x) in powers of sinh(x).at n=41A082649
• Triangle read by rows: T(n, k) is the coefficient of x^k in the polynomial 1 - ChT(n, x^(1/2))^2, where ChT(n, x) is the n-th Chebyshev polynomial of the first kind, evaluated at x (0 <= k <= n).at n=49A123588
• C(n+7, 7)*(n+4)*(-1)^(n+1)*16.at n=5A138332
• Numbers k such that rad(k)^2 divides sigma(k).at n=15A173615
• Number of ways to choose n positive integers less than or equal to 2n such that none of the n integers divides another.at n=42A174094
• The number of sets of n positive integers strictly less than 2*n such that no integer in the set divides another.at n=42A192298
• The number of sets of n positive integers strictly less than 2*n such that no integer in the set divides another.at n=43A192298
• Numbers m such that, in the prime factorization of m, the product of the exponents equals the sum of prime factors and exponents.at n=21A231231
• Consider numbers n = concat(w,x,y,z) such that w*x*y*z | n. Leading zeros in x, y and z allowed. Sequence lists numbers that admit at least two such concatenations.at n=18A257172
• Number of n X 3 0..2 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once.at n=4A268966
• T(n,k)=Number of nXk 0..2 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once.at n=25A268971
• Number of 5Xn 0..2 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once.at n=2A268975
• a(n) = Product_{k=1..n} |Stirling1(n,k)| * k!.at n=4A308941
• Numbers with a record number of distinct values of the Euler totient function applied to their divisors (A319696).at n=30A328858
• Numbers 4*k such that 1 is the last integer obtained when 4*k is successively divided by its divisors in increasing order.at n=45A329549
• Triangle read by rows: T(n, k) = binomial(n + k - 1, 2*k - 1) * 4^(k - 1) * n/k, 1 <= k <= n.at n=39A334009
• Triangular array: row n gives the coefficients T(n,k) of powers x^(2k) in the series expansion of ((b^n + b^(-n))/2)^2, where b = x + sqrt(x^2 + 1).at n=49A373504