2612736

Appears in sequences

• Triangle whose (i,j)-th entry is binomial(i,j)*4^(i-j)*6^j.at n=33A038236
• Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*4^j.at n=30A038258
• Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*8^j.at n=29A038262
• Numbers that are the product of their digits raised to positive integer powers.at n=32A059405
• Triangle read by rows: T(n, k) = binomial(n, k)*k^k*(n-k)^(n-k-1) k=0..n-1.at n=34A066320
• E.g.f.: (1/(1-x^6))*exp( 6*sum_{i>=0} x^(6*i+1)/(6*i+1) ) for an order-6 linear recurrence with varying coefficients.at n=8A097681
• Triangle T(k,n) by rows: n! * A075499(k,n).at n=31A099394
• Number of divisors of A104350(n).at n=36A104352
• Numbers k such that k = p*phi(p) where p is the product of digits of k.at n=3A153425
• Denominators of an asymptotic series for the Gamma function (G. Nemes).at n=5A182913
• Pyramid P(n, t, d) read by planes and rows, for 0 <= t+d <= n: number of ways n triples can sit in a row so that exactly t triples are together and exactly d triples are separated into a couple and a loner.at n=31A192990
• Numbers which can be written using their digits in order and only multiplication and squaring operators.at n=14A194766
• Triangle read by rows: T(n,k) (n>=1, 1 <= k <= n) = number of permutations of [1..n] in which none of the cycle lengths are divisible by k.at n=49A213280
• Number of permutations on n points admitting a fifth root.at n=10A215716
• Triangle read by rows: terms of a binomial decomposition of 1 as Sum(k=0..n)T(n,k).at n=43A244117
• Triangle read by rows: terms T(n,k) of a binomial decomposition of n^n as Sum(k=0..n)T(n,k).at n=38A244137
• For any number n > 0, let f(n) be the function that associates k to the prime(k)-adic valuation of n (where prime(k) denotes the k-th prime); f establishes a bijection between the positive numbers and the arithmetic functions with nonnegative integer values and a finite number of nonzero values; let g be the inverse of f; a(n) = g(f(n) * f(n)) (where i * j denotes the Dirichlet convolution of i and j).at n=23A296857
• Triangle read by rows: T(n, k) = binomial(n, k - 1)*(k - 1)^(k - 1)*(n - k)*(n - k + 1)^(n - k).at n=43A368849
• Triangle read by rows: T(n, k) = binomial(n, k - 1)*(k - 1)^(k - 1)*k*(n - k + 1)^(n - k).at n=39A369019