85120

Appears in sequences

• Expansion of e.g.f. exp(2*x)/(1-x)^3.at n=6A082031
• a(n) = (4*n^3 + 11*n^2 + 9*n + 2)/2.at n=34A135712
• a(n) = binomial(n+2,3)*4^3.at n=18A141478
• Expansion of (1+4*x+14*x^2)/(1-2*x^2-64*x^3).at n=8A158784
• Numbers with prime factorization pqrs^7.at n=25A190473
• Triangle by rows T(n,k), showing the number of meanders with length (n+1)*6 and containing (k+1)*6 Ls and (n-k)*6 Rs, where Ls and Rs denote arcs of equal length and a central angle of 60 degrees which are positively or negatively oriented.at n=11A197655
• Number of arrays of n+2 integers in -2..2 with sum zero and the sum of every adjacent pair being odd.at n=12A202070
• Number of (w,x,y,z) with all terms in {1,...,n} and w<=2x and y<3z.at n=19A212512
• a(n) = n*(n + 1)*(n + 2)*(7*n - 5)/12.at n=19A264850
• Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 454", based on the 5-celled von Neumann neighborhood.at n=38A288395
• Numbers k such that k = Product (p_j^e_j) = Product (p_j*(e_j + 1)).at n=29A304410
• Expansion of e.g.f. Sum_{k>=1} log(1/(1 - x^k/k)).at n=8A308345
• Expansion of e.g.f. log(1 + Sum_{k>=1} (k+1)*(k+2)/6 * x^k).at n=9A308499
• Lesser of amicable pair m < n defined by t(n) = m and t(m) = n where t(n) = psi(n) - n and psi(n) = A001615(n) is the Dedekind psi function.at n=32A323329
• Expansion of e.g.f. Sum_{k>=1} log(1/(1 + (-x)^k/k)).at n=8A328193
• a(n) = A000203(A344422(n)).at n=10A345260
• Triangle read by rows. T(n, k) = A360604(n, k) * A001187(k) for 0 <= k <= n.at n=40A360603
• Primitive terms of A259850.at n=46A361363