54351

Appears in sequences

• a(n) = n*(2*n^2 + 1)*(n^2 + 1)/6.at n=10A052459
• Number of permutations on n letters without double falls and without initial falls.at n=9A080635
• A Chebyshev transform of the Padovan numbers.at n=40A100049
• Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k double descents and initial descents (n>=0; 0<=k<=max(0,n-1)) [we say that i is a doubledescent of a permutation p if p(i) > p(i+1) > p(i+2); we say that a permutation p has an initial descent if p(1) > p(2)].at n=37A162976
• Square array, read by antidiagonals, used to recursively calculate A080635.at n=36A185416
• Forests of k increasing plane unary-binary trees on n nodes. Generalized Stirling numbers of the second kind associated with A185415.at n=36A185422
• Ordered forests of k increasing plane unary-binary trees with n nodes.at n=36A185423
• Coefficient of x in the reduction by (x^2->x+1) of the polynomial p(n,x) given in Comments.at n=10A192877
• Numbers n such that n and n+1 both have 20 divisors.at n=8A274361
• Sum of largest emergent parts of the partitions of n.at n=37A330242