4128768

Appears in sequences

• Number of divisors of k as k runs through sequence of distinct values of LCM(1,..,n).at n=27A056795
• Numbers that are the product of their digits raised to positive integer powers.at n=34A059405
• Maximal number of divisors of any n-digit number.at n=26A066150
• Number of endofunctions on n labeled points constructed from k rooted trees.at n=30A066324
• 19-almost primes (generalization of semiprimes).at n=14A069280
• Expansion of (1-x)/(1-2*x+2*x^2-2*x^3).at n=38A078003
• Expansion of (1 - 2x + 2x^2 - x^3)/(1 - 2x)^2.at n=19A084860
• a(n) = (2*n+1)*2^floor((n+1)/2).at n=31A097578
• Smallest number beginning with 4 and having exactly n prime divisors counted with multiplicity.at n=18A106424
• (1,3)-entry of the 3 X 3 matrix M^n, where M = {{0, -1, 1}, {1, 1, 0}, {0, 1, 1}}.at n=39A122788
• T(i,j) = (-1)^(i+j)*(i+1)*binomial(i,j)*2^(i-j)*4^j.at n=42A137337
• a(n) = binomial(n + 4, 4) * 8^n.at n=5A172510
• Numbers which can be written using their digits in order and only multiplication and squaring operators.at n=16A194766
• G.f. satisfies: A(x) = exp( Sum_{n>=1} [Sum_{k=0..2*n} A200536(n,k)^2 * x^k] / A(x)^n * x^n/n ), where A200536(n,k) is the coefficient of x^k in (1+3*x+2*x^2)^n.at n=30A200537
• Triangular array read by rows: T(n,k) is the number of functions f:{1,2,...,n} -> {1,2,...,n} that have exactly k nonrecurrent elements; n>=1, 0<=k<=n-1.at n=33A219694
• Terms of a particular integer decomposition of N^N.at n=39A243203
• G.f. satisfies: A(x) = exp( Sum_{n>=1} [Sum_{k=0..2*n} A200536(n,2*n-k)^2 * x^k] / A(x)^n * x^n/n ), where A200536(n,2*n-k) is the coefficient of x^k in (2+3*x+x^2)^n.at n=30A251689
• Numbers k such that A007954(k) divides k and k divides A007954(k)^2.at n=22A257554
• a(n) is the number of numbers whose largest prime power factor equals A000961(n).at n=28A305215
• Numbers that can be written in two or more ways as the product of three divisors greater than 1 such that the number in binary is contained in the string concatenation of the divisors in binary.at n=28A356143