32484

Appears in sequences

• One-half the number of permutations of length n with exactly 3 rising or falling successions.at n=9A001267
• Triangle read by rows: T(n,k) is one-half the number of permutations of length n with exactly n-k rising or falling successions, for n >= 1, 1 <= k <= n. T(1,1) = 1 by convention.at n=41A010028
• a(n) = Sum_{k=0..n-1} T(n,k) * T(n,2n-k), with T given by A027113.at n=7A027136
• Number of primitive (aperiodic) palindromes using a maximum of two different symbols.at n=29A056458
• Number of primitive (aperiodic) palindromes using exactly two different symbols.at n=29A056463
• Triangle read by rows: T(n,k) = one-half number of permutations of length n with exactly k rising or falling successions, for n >= 1, 0 <= k <= n-1. T(1,0) = 1 by convention.at n=39A086856
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 809", based on the 5-celled von Neumann neighborhood.at n=31A273612
• Relative of Hofstadter Q-sequence: a(n) = max(0, n+32478) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0.at n=7A274058