24970

Appears in sequences

• Central factorial numbers: 2nd subdiagonal of A008958.at n=3A002453
• a(n) = (25*n^4-120*n^3+209*n^2-108*n)/6.at n=10A006529
• Triangle of central factorial numbers 4^k T(2n+1, 2n+1-2k).at n=18A008958
• a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049723.at n=28A049724
• A000013 / 2.at n=19A054538
• A000016 / 2.at n=18A054539
• Number of subsets of {1,2,3,...,n} that sum to 0 mod 21.at n=19A068042
• Triangle read by rows: T(n,k) (0 <= k <= n) is the number of Delannoy paths of length n, having k return steps to the line y = x from the line y = x+1 (i.e., E steps from the line y=x+1 to the line y = x).at n=50A110098
• Number of 123-segmented permutations of length n.at n=10A125306
• Elements of A011185 that are also the sum of a pair of distinct elements of A011185.at n=19A133605
• Triangular array: T(n,k) counts the partitions of the set [n] into k odd sized blocks.at n=71A136630
• Eigentriangle generated from A109128, row sums = expansion of {2(exp(x)-1)}.at n=42A144061
• Triangle of scaled central factorial numbers, T(n,k) = A008958(n,n-k).at n=17A160562
• Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k triple descents (n>=0,0<=k<=n-3). We say that i is a triple descent of a permutation p if p(i) > p(i+1) > p(i+2) > p(i+3).at n=34A220183
• Convolution of nonzero heptagonal numbers (A000566) with themselves.at n=9A272103
• a(n) = [x^n] Product_{k=1..n} 1/(1 - (2*k-1)^2 * x).at n=3A348088
• Product_{n>=1} (1 + x^n)^a(n) = Sum_{n>=0} prime(n)# * x^n.at n=5A380614
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = (2*n+k)!/k! * [x^(2*n+k)] sinh(x)^k.at n=39A381512
• T(n,k) is the number of permutations of [n] having exactly k pairs of integers i<j in [n] such that their cycle minima have opposite sorting order; triangle T(n,k), n>=0, 0<=k<=A125811(n)-1, read by rows.at n=56A381529
• Number of permutations of [n] having exactly n pairs of integers i<j in [n] such that their cycle minima have opposite sorting order.at n=9A381545