70785

Appears in sequences

• a(n) = binomial(n+5,5) * binomial(n+5,4)/(n+5).at n=8A006857
• Expansion of log(1+x)/cosh(sin(x)).at n=9A009431
• a(n) = (5*n + 4)*binomial(n+7,7)/4.at n=8A056125
• Smallest number of the form n*k + 1 that is divisible by all the phi(n) numbers less than n and relatively prime to n.at n=12A084715
• Absolute value of coefficient of term [x^(n-4)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 4. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n.at n=8A112460
• Ninth column (and diagonal) of Narayana triangle A001263.at n=4A134290
• Number of 4 X 8 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,8,n can be permuted, see formula.at n=2A140913
• An eight-products triangle sequence of coefficients: T(n,k) = binomial(n,k) * Product_{j=1..7} j!*(n+j)!/((k+j)!*(n-k+j)!).at n=23A142468
• An eight-products triangle sequence of coefficients: T(n,k) = binomial(n,k) * Product_{j=1..7} j!*(n+j)!/((k+j)!*(n-k+j)!).at n=25A142468
• Triangle T(n, k) = binomial(2*n, 2*k)*binomial(2*n+1, 2*k+1)/(2*n-2*k+1), read by rows.at n=23A155516
• Triangle T(n, k) = binomial(2*n, 2*k)*binomial(2*n+1, 2*k+1)/(2*n-2*k+1), read by rows.at n=25A155516
• a(n) = 65*n^2.at n=32A165798
• G.f. A(x) satisfies: A(x) = 1+x + x^2*[d/dx A(x)^3].at n=6A218223
• Fixed points of A153212: After a(1) = 1, numbers of the form p_i1^i1 * p_i2^(i2-i1) * p_i3^(i3-i2) * ... * p_ik^(ik-i_{k-1}), where p_i's are distinct primes present in the prime factorization of n, with i1 < i2 < i3 < ... < ik, and k = A001221(n) and ik = A061395(n).at n=42A242421
• Number of 2 X 2 matrices having all elements in {-n,..,0,..,n} with determinant = permanent.at n=16A280059
• a(n) = ((p-1)^3 - (p-1)^2)/4 where p is the n-th prime.at n=18A331764
• Heinz numbers of integer partitions with the same number of even parts, odd parts, even conjugate parts, and odd conjugate parts.at n=25A350947
• a(n) = n! * Sum_{k=0..floor(n/3)} (-n/3)^k * binomial(n-2*k,k)/(n-2*k)!.at n=8A362304
• Numbers that are divisible by the squares of two distinct primes and whose arithmetic derivative (A003415) is a squarefree number of the form 4k+2.at n=18A368697
• a(n) is the number of words of length n over the alphabet [n], avoiding 120 and 210, and sortable by a stack of depth 2.at n=7A369325