40898
domain: N
Appears in sequences
- a(n) = n^2*(n+1)*(n+2)^2/6.at n=11A004256
- a(n) = C(n)*C(n+2) - C(n+1)^2 where C() are the Catalan numbers A000108.at n=7A005700
- Number of partitions in parts not of the form 25k, 25k+3 or 25k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=45A036002
- Triangle of numbers of Dyck paths.at n=28A039797
- Triangle of numbers of Dyck paths.at n=29A039797
- Triangle read by rows: numbers of Dyck paths.at n=34A039798
- Triangle read by rows: numbers of Dyck paths.at n=35A039798
- Numbers n such that n | 11^n + 9^n + 7^n + 5^n + 3^n + 1.at n=31A057832
- Least number k such that k has n anti-divisors.at n=40A066464
- Upper triangle of Catalan Number Wall.at n=38A078920
- Triangle T(n,k) read by rows: number of 12312-avoiding matchings on [2n] with exactly k crossings (n >= 1, 0 <= k <= n-1).at n=41A108410
- Triangle read by rows, giving Kekulé numbers for certain benzenoids (see the Cyvin-Gutman book for details).at n=42A123352
- Moment sequence of tr(A) in USp(4).at n=14A138349
- Triangle V(l,p) (l>=0, p=0..l) read by rows: see Formula for definition, see Comments for motivation.at n=92A179898
- Triangle V(l,p) (l>=0, p=0..l) read by rows: see Formula for definition, see Comments for motivation.at n=105A179898
- Triangle read by rows: Table III.5 of Myriam de Sainte-Catherine's 1983 thesis.at n=61A185249
- Triangle read by rows: the X-transformation of the Catalan triangle A033184.at n=29A228334
- Triangle read by rows: the Y-transformation of the Catalan triangle A033184.at n=28A228335
- Values n, where n = p * q, and n, p, and q together contain all 10 digits at least once, and no digit is in more than one of n, p or q.at n=25A253173
- Triangle read by rows: T(n,r) = binomial(n,r)*binomial(2*n-3*r-4,n-2*r-2)/(n-r-1), n >= 2, r = 0..floor(n/2)-1.at n=39A259097