128128

Appears in sequences

• a(n) = (n+1)*binomial(n+1,6).at n=10A027766
• a(n) = (n + 1)*binomial(n + 1, 10).at n=6A027770
• Expansion of g.f. c(2*x)^4, where c(x) is the g.f. of A000108.at n=6A101596
• a(n) = C(n,a)*C(n,b)*C(n,c)... where n = abc... are the decimal digits of n.at n=15A111695
• Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n, having k ascents of length at least 2 (1 <= k <= floor(n/2), n >= 2).at n=39A114593
• a(n) = C(n+5, 5)*(n+3)*(-1)^(n+1)*16/3.at n=9A138331
• Riordan array (c(2x)^2,xc(2x)), c(x) the g.f. of A000108.at n=38A167432
• a(n) = 2^n concatenated with itself.at n=7A178664
• Triangle read by rows, T(n,k) for 0<=k<=n, generalizes the Motzkin lattice paths with weights of A003645.at n=29A201639
• Number of (n+1) X (1+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings).at n=6A235312
• Number of (n+1) X (7+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings).at n=0A235318
• T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings).at n=21A235319
• T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings).at n=27A235319
• 4n concatenated with itself.at n=31A248365
• Number of nonintersecting (or self-avoiding) rook paths of length 2n+2 joining opposite corners of an n X n grid.at n=6A257888
• Number of set partitions of [n] into exactly ten parts such that no part contains two elements with a circular distance less than three.at n=4A261486
• a(n) = 25*binomial(n-1,6) + binomial(n-1,5).at n=11A274501
• Starting a random walk on Z at 0 triangle T(j,k) gives the number of paths of length 2*j returning to 0 exactly k times.at n=59A276418
• Expansion of eta(q^2)^12 * eta(q^4)^8 / eta(q)^8 in powers of q.at n=21A286399
• Positions of records in A116489.at n=32A342868