35692

Appears in sequences

• For a partition P of a positive integer, let f(P) be the product of k+1, over all parts k in P. Let a(n,r) be the sum of f(P) over all partitions P of n with smallest part r. Sequence gives table of a(n,r) for 1 <= r <= n, in the order a(1,1); a(2,1), a(2,2); a(3,1), a(3,2), a(3,3); ...at n=66A079308
• Number of partitions of n such that if k is the largest part, then k-2 occurs as a part.at n=49A119907
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 513", based on the 5-celled von Neumann neighborhood.at n=32A272703
• a(n) = unreduced numerator in Sum_{k=1..n}(1/k^k).at n=4A279017
• Number of (unlabeled) rooted trees with n leaf nodes and without unary nodes such that the maximum of the node outdegrees equals eight.at n=9A292234
• Triangle, read by rows, with row n forming the coefficients in Product_{k=0..n} (1 + k^k*x).at n=13A348014