65016

Appears in sequences

• Product of numbers obtained by adding one to the odd divisors of n and subtracting 1 from the even divisors.at n=43A086535
• a(n) = 19683*n - 13716.at n=3A157666
• Constant term of the reduction of n-th Fibonacci polynomial by x^2 -> x+1. (See Comments.)at n=17A192232
• Triangle, read by rows, where the g.f. of row n equals Product_{k=0..n-1} (1 + k*y + y^2) for n>0 with a single '1' in row 0.at n=71A201949
• Triangle, read by rows, where the g.f. of row n equals Product_{k=0..n-1} (1 + k*y + y^2) for n>0 with a single '1' in row 0.at n=73A201949
• A diagonal of irregular triangle A201949.at n=7A201952
• The hyper-Wiener index of the linear phenylene with n hexagons.at n=7A224455
• T(n,k) is the number of s in {1,...,n}^n having longest contiguous subsequence with the same value of length k; triangle T(n,k), n>=1, 1<=k<=n, read by rows.at n=23A228154
• Numbers n for which there exists k > n such that A000203(k) = A000203(n) and A007947(k) = A007947(n), where A000203 gives the sum of divisors, and A007947 gives the squarefree kernel of n.at n=13A255334
• a(n) = n*(n + 11)*(n + 22)*(n + 33)/24.at n=21A264448
• Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 275", based on the 5-celled von Neumann neighborhood.at n=7A271092
• Total number of inversions in all compositions of n into distinct parts.at n=26A271372
• Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 641", based on the 5-celled von Neumann neighborhood.at n=7A273310
• Expansion of Product_{k>=1} 1/(1 - x^k)^A050985(k).at n=20A301597
• Number of aperiodic binary arrays of size n.at n=14A323864
• Number of ways to write n as an ordered sum of 7 primes.at n=42A340963
• a(n) = (n^2+n+1)*(n^2+n)*n^2.at n=6A356768