80080

Appears in sequences

• Conjectured number of irreducible multiple zeta values of depth 8 and weight 2n+22.at n=22A022496
• Expansion of Product_{m>=1} 1/(1 - m*q^m)^8.at n=7A022732
• a(n) = 10*(n+1)*binomial(n+3,5)/3.at n=9A027790
• a(n) = 55*(n+1)*binomial(n+3,11)/3.at n=3A027796
• Third derivative of Catalan generating function/3!.at n=5A030060
• A triangle of numbers related to triangle A030524.at n=32A049352
• Number of sequences {s(i): i=0..n} such that |s(i)-s(i-1)|=1, i=1..n and s(i)=0 at four values of i, one of which is i=0.at n=18A052207
• Denominator of Sum_{i+j+k=n, i,j,k>=1} (i*j)/k.at n=17A076175
• Smallest multiple of n using only digits 0 and 8.at n=34A078247
• a(n) = A081537(n)/A081535(n), with a(2) = 1 by convention.at n=16A081538
• Triangle T(n,k) read by rows: multiply row n of Pascal's triangle (A007318) by the n-th Catalan number (A000108).at n=39A085880
• Triangle T(n,k) read by rows: multiply row n of Pascal's triangle (A007318) by the n-th Catalan number (A000108).at n=41A085880
• Triangle of coefficients of n-th degree interpolating polynomial to sqrt(x) multiplied by 4^n.at n=41A091764
• Triangle read by rows: T(n,k) is the number of permutations p of [n] in which the length of the longest initial segment avoiding the 123-pattern is equal to k.at n=52A092583
• Row 9 of array in A288580.at n=22A092974
• Denominator of sum of all elements M(i,j,k) = i*j/k, (i,j,k = 1..n). a(n) = Denominator[Sum[Sum[Sum[i*j/k,{i,1,n}],{j,1,n}],{k,1,n}]].at n=16A099866
• T(n,k) = 2^k*binomial(n,2k+1), where 0 <= k <= floor((n-1)/2), n >= 1.at n=60A105070
• a(n) = (n+1)*(n+2)*(n+3)*(n+4)*(19*n^2 + 47*n + 30)/720.at n=10A108677
• a(n) = floor(lcm(1,2,...n)/(1+2+...+n)).at n=16A109922
• a(n) = lcm(1,2,3,...,prime(n))/(1 + 2 + ... + prime(n)).at n=5A109923