49113

Appears in sequences

• Numbers k such that the period of the continued fraction for sqrt(5)*k is 2.at n=40A065030
• a(n) = 5a(n-1) - 5a(n-2) + a(n-3) + 2*(-1)^(n+1), alternatively a(n) = 3a(n-1) + 3a(n-2) - a(n-3).at n=8A109438
• Triangle read by rows: T(n,k) is the number of ternary words of length n containing k 012's (n >= 0, 0 <= k <= floor(n/3)).at n=27A119851
• Number of ternary words with exactly one 012.at n=11A119852
• The number of bidirectional ballot sequences of length n, i.e., the number of 0-1 sequences of length n such that every prefix and every suffix has more 1's than 0's.at n=21A167510
• Regular triangle, T(n, k) = f(n, k) - f(n, 0) + 1, where f(n, k) = Sum_{j=0..k} StirlingS1(n, n-j)*binomial(n,j) + Sum_{j=0..n-k} StirlingS1(n, n-j)*binomial(n, j), read by rows.at n=38A176155
• Regular triangle, T(n, k) = f(n, k) - f(n, 0) + 1, where f(n, k) = Sum_{j=0..k} StirlingS1(n, n-j)*binomial(n,j) + Sum_{j=0..n-k} StirlingS1(n, n-j)*binomial(n, j), read by rows.at n=42A176155
• Number of parts that are visible in one of the three views of the shell model of partitions version "Tree" with n shells.at n=37A194803
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 209", based on the 5-celled von Neumann neighborhood.at n=41A270893
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 595", based on the 5-celled von Neumann neighborhood.at n=36A273142