68850

Appears in sequences

• Specific heat coefficients for square lattice spin 3 Ising model.at n=33A030122
• a(n)=4a(n-1)+C(n+4,4),n>0, a(0)=1.at n=7A097789
• Triangle read by rows: T(n,k) is number of Dyck n-paths with k UUDDs, 0 <= k <= n/2.at n=43A098978
• Scaled convolution of (n^3)*A000984(n) with A000984(n).at n=29A142962
• Number of length n left factors of Dyck paths having no UUDD's; here U=(1,1) and D=(1,-1).at n=21A191794
• 3^n times the expected value of the shortest run of 0's in a length n word on alphabet {0,1,2}.at n=10A209243
• Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1); triangle T(n,k), n>=0, read by rows.at n=52A243752
• Number of Dyck paths of semilength n having exactly one occurrence of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1).at n=11A243770
• Alternating the subtraction and multiplication of two previous terms, starting with 3, 2.at n=13A248505
• The number of peaks of width 1 (i.e., UHD configurations, where U = (0,1), H=(1,0), D=(0,-1)) in all bargraphs of semiperimeter n (n>=2).at n=11A273716
• a(n) = 34*n^2.at n=45A303302