83653

Properties

Appears in sequences

• a(1)=1, a(n) = n*3^(n-1) + a(n-1).at n=8A014915
• Numbers k such that 69^k - 68^k is prime.at n=3A062635
• Triangle read by rows, generated from (..., 3, 2, 1).at n=63A108283
• 1 + 2*n + 3*n^2 + 4*n^3 + 5*n^4 + 6*n^5 + 7*n^6 + 8*n^7 + 9*n^8.at n=3A113630
• T(n, k) = 3*T(n-1, k-1) + T(n-1, k) for k < n and T(n, n) = 1, T(n, k) = 0, if k < 0 or k > n; triangle read by rows.at n=63A119673
• Number of quadruples [i,j,k,l] with all entries between 1 and n such that gcd(i,j) = gcd(k,l).at n=20A124162
• Mirror image of the triangle A193842.at n=46A193843
• Triangle read by rows: T(n,k) is the coefficient A_k in the transformation Sum_{k=0..n} (k+1)*x^k = Sum_{k=0..n} A_k*(x-3)^k.at n=36A246799
• Prime numbersat n=8165