239653

Appears in sequences

• One-half the number of permutations of length n without rising or falling successions.at n=8A001266
• 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=54A010028
• Irregular triangle read by rows: T(n,k) (n >= 1, 0 <= k <= [n/2]) = number of permutations of 1..n with [n/2]-k runs of consecutive pairs up and down (divided by 2).at n=34A010030
• 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=45A086856
• Molien series for complete weight enumerators of Type II self-dual codes over Z/8Z containing the all-ones vector.at n=5A092547