31176

Appears in sequences

• a(n) = n! * (1 + 2*Sum_{k=1..n} 1/k).at n=7A000776
• Number of collinear point 4-tuples in an n X n .. X n 4-dimensional cubical grid.at n=5A178269
• Number of collinear point 4-tuples in a 6 X 6 X 6 X... n-dimensional cubic grid.at n=4A178299
• Number of length n+2 0..7 arrays with some pair in every consecutive three terms totalling exactly 7.at n=4A245868
• Number of length 5+2 0..n arrays with some pair in every consecutive three terms totalling exactly n.at n=6A245874
• E.g.f.: log(1 + x) / (1 - x)^4.at n=5A346846
• a(n) = 2*n^3 - 3*n + 1.at n=25A377663
• Array read by ascending antidiagonals: A(n, k) = (-1)^(n + k) * Sum_{j=0..k} j! * Stirling1(n, j) * Stirling1(k, j).at n=57A379820
• Array read by ascending antidiagonals: A(n, k) = (-1)^(n + k) * Sum_{j=0..k} j! * Stirling1(n, j) * Stirling1(k, j).at n=63A379820
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = n! * k! * [x^n * y^k] 1 / ( (1-x) * (1-y) * (1 - log(1-x) * log(1-y))^2 ).at n=37A382824
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = n! * k! * [x^n * y^k] 1 / ( (1-x) * (1-y) * (1 - log(1-x) * log(1-y))^2 ).at n=43A382824