34200

Appears in sequences

• Number of nonnegative solutions of x1^2 + x2^2 + ... + x10^2 = n.at n=24A045852
• a(1) = 1, a(m+1) = Sum_{k=1..m} lcm(m, a(k)).at n=9A056147
• a(n) = (2*n - 1)*(3*n^2 - 3*n + 2)/2.at n=22A063491
• a(n) = A062402(2^n-1).at n=13A096854
• A062402(x)=sigma(phi[x]) function is iterated; initial value=2^n; a(n)=largest term of trajectory.at n=13A097001
• Sigma(A033631(n)) {sigma is the sum of divisors function A000203}.at n=7A115619
• Number of permutations of floor(i*7/3), i=0..n-1, with all sums of 5 adjacent terms unique.at n=7A152358
• Number of 3-step king's tours on an n X n board summed over all starting positions.at n=25A186862
• Numbers with prime factorization p*q^2*r^2*s^3 (where p, q, r, s are distinct primes).at n=10A190109
• Monotonic ordering of set S generated by these rules: if x and y are in S and x^2-y^2>0 then x^2-y^2 is in S, and 2 and 3 are in S.at n=23A192648
• Augmentation of the triangular array P=A130296 whose n-th row is (n+1,1,1,1,1...,1) for 0<=k<=n. See Comments.at n=31A193094
• Sum of the divisors of n^3 - 1.at n=28A234860
• Square array read by antidiagonals: T(n,k) is the number of k-edge colored trees on vertex set [n] (n>=2, k>=2).at n=24A248090
• Sequence A261220 shown in factorial base: a(n) = A007623(A261220(n)).at n=55A260743
• Least m>0 for which m + n^2 is a square and m + triangular(n) is a triangular number (A000217).at n=39A267140
• First term of A175304 with a given prime signature.at n=33A282231
• Triangle read by rows: T(n, k) = binomial(2*n, n + k) * binomial(n + 1, k)/(n + 1).at n=62A286784
• Numbers k such that usigma(k) = round(zeta(2)/zeta(3)*k), where usigma(k) is the sum of unitary divisors of k (A034448).at n=13A308045
• a(n) = Sum_{ i=2..n-1, j=1..i-1, gcd(i,j)=1 } (n-i)*(n-j).at n=25A332612
• Irregular table read by rows: The number of k-faced polyhedra, where k>=4, formed when the five Platonic solids, in the order tetrahedron, octahedron, cube, icosahedron, dodecahedron, are internally cut by all the planes defined by any three of their vertices.at n=9A338622