169884

Appears in sequences

• a(n) = binomial(n+2,2) + binomial(n+3,3) + binomial(n+4,4) + binomial(n+5,5).at n=25A027659
• Secondary root edges in doubly rooted tree maps with n edges.at n=6A046715
• Number of antichains (or order ideals) in the poset 5*m*n or plane partitions with not more than m rows, n columns and entries <= 5.at n=47A056941
• Number of antichains (or order ideals) in the poset 5*m*n or plane partitions with not more than m rows, n columns and entries <= 5.at n=52A056941
• a(n) = (n+1)*(n+2)^2*(n+3)^2*(n+4)^2*(n+5)^2*(n+6)/86400.at n=7A108679
• Eighth column (and diagonal) of Narayana triangle A001263.at n=5A134289
• Number of 5 X 7 matrices with elements in 0..n with each row and each column in nondecreasing order. 5,7,n can be permuted, see formula.at n=2A140909
• Triangle T(n,m) read by rows: T(n,m) = Product_{i=0..6} binomial(n+i,m)/binomial(m+i,m).at n=30A142467
• Triangle T(n,m) read by rows: T(n,m) = Product_{i=0..6} binomial(n+i,m)/binomial(m+i,m).at n=33A142467
• Expansion of 1 / (1 - 6*x + 20*x^3 - 15*x^4 + x^6).at n=7A200782
• T(n,k) is the number of arrays of n+2 elements from {0,1,...,k} with no two consecutive ascents.at n=40A200785
• Number of 0..n arrays x(0..6) of 7 elements without any two consecutive increases.at n=4A200789
• a(n) = 90*binomial(n-1,7) + 9*binomial(n-1,6).at n=9A274502
• Triangle T(n,k) read by rows: T(n,k) = Product_{j=0..n-1} binomial(n+j,k)/binomial(k+j,k).at n=30A342972
• Triangle T(n,k) read by rows: T(n,k) = Product_{j=0..n-1} binomial(n+j,k)/binomial(k+j,k).at n=33A342972
• Numbers which form a prime by appending a 3-digit number and form no primes by appending 1 digit or 2 digits.at n=31A365813
• a(n) = n! * F(n) * H(n), where F(n) is the n-th Fibonacci number and H(n) the n-th harmonic number.at n=6A372199
• a(n) is the smallest number which can be represented as the sum of n distinct nonzero n-gonal numbers in exactly 2 ways.at n=29A377729
• Triangle read by rows: T(n, k) is the number of walks of length 2*n on the N X N grid with unit steps in all four directions (NSWE) starting at (0, 0). k is the common value of the x- and the y-coordinate of the endpoint of the walk.at n=23A380119
• Triangle read by rows: T(n,k) is k-th entry of the toric g-vector of the n-dimensional associahedron, 0 <= k <= floor(n/2).at n=41A390883