29700

Appears in sequences

• Series-parallel numbers.at n=5A000432
• Number of walks on square lattice. Column y=2 of A052174.at n=8A005560
• Expansion of log(1+sinh(log(1+x))).at n=7A009345
• Number of partitions of n that do not contain 6 as a part.at n=41A027340
• a(n) = n^3 + (n+1)^3 + (n+2)^3 + (n+3)^3 + (n+4)^3.at n=16A027604
• a(n) = floor( n*(n+1)*(n+2)*...*(n+6) / (n+(n+1)+(n+2)+...+(n+6)) ).at n=5A032774
• Integer quotients n(n+1)(n+2)...(n+6) / (n+(n+1)+(n+2)+...+(n+6)).at n=4A032776
• Triangle of series-parallel numbers.at n=39A036654
• Partial sums of second pentagonal numbers with even index (A049453).at n=24A051895
• Numbers k such that cototient(k) is a square and sets a new record for squares.at n=37A063753
• Numbers k such that sigma(prime(k) + 1) == 0 (mod k).at n=43A067759
• Triangle read by rows: T(n, k) = binomial(2*n+1, n-k)^2*(2*k+1)/(2*n+1).at n=16A067802
• Expansion of (1-x)^(-1)/(1-x-x^2+2*x^3).at n=38A077867
• (3/4)*(27*n^2-137*n+180)*n^(n-6)*(2*n-6)!/(n-3)!.at n=2A104003
• Triangle T(n,m)=m*n*binomial(m+n,m)^2/(2*(m+n)) read by rows.at n=30A131635
• The matrix product A127773 * A001263 of infinite lower triangular matrices.at n=47A132818
• Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=10.at n=37A135195
• Numbers k such that k and k^2 use only the digits 0, 2, 7, 8 and 9.at n=9A136925
• Generalized Narayana numbers, T(n, k) = 3/(n + 1)*binomial(n + 1, k + 2)*binomial(n + 1, k - 1), triangular array read by rows.at n=40A145597
• a(n) is the number of walks from (0,0) to (0,2) that remain in the upper half-plane y >= 0 using 2*n unit steps either up (U), down (D), left (L) or right (R).at n=4A145601