83328

Appears in sequences

• Expansion of e.g.f. arctan(arcsinh(x) * exp(x)).at n=8A012588
• Number of bases of an n-dimensional vector space over GF(2).at n=5A053601
• The 28-cycle of the n => sigma(n)-n process, where sigma(n) is the sum of divisors of n (A000203).at n=4A072890
• Conjectured list of sociable numbers.at n=15A122726
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (0, 0, -1), (1, 0, 1), (1, 1, 1)}.at n=8A151024
• Number of strong fixed blocks in all the permutations of [n] (see first comment for definition).at n=9A186374
• Numbers with prime factorization pqrs^7.at n=23A190473
• Triangle read by rows: T(n,m) is the number of direct-sum decompositions of a finite vector space of dimension n with m blocks over GF(2).at n=20A270880
• Triangle read by rows: T(n,k) is the number of direct sum decompositions of a finite vector space of n dimensions over GF(2) that have exactly k subspaces of dimension 1, n>=0, 0<=k<=n.at n=20A287206
• Triangle read by rows: T(n,k) is the number of direct sum decompositions of GF(2)^n whose maximal subspace has dimension k, 1<=k<=n, n>=1.at n=10A298399
• Triangle read by rows. T(n,k) is the number of direct sum decompositions of GF(2)^n into subspaces of dimension at most k, 1<=k<=n.at n=10A298561
• Numbers k such that k = Product (p_j^e_j) = Product (p_j*(e_j + 1)).at n=27A304410
• Number of ways to write n as an ordered sum of 6 nonprime numbers.at n=46A341483
• Positions of records in A227872, i.e., integers whose number of odious divisors sets a new record.at n=23A355969
• Irregular triangular array read by rows. T(n,k) is the number of direct sum decompositions V_1 + V_2 + ... + V_m = GF(2)^n with the dimensions of the V_i corresponding to the k-th partition of n in canonical ordering, n >= 0, 1 <= k <= A000041(n).at n=18A358165
• G.f. satisfies A(x) = 1 + x + 2*x^3*A(x)^3.at n=15A367072
• Integers k such that there exists an integer 0<m<k such that (1/sigma(m)^2 + 1/sigma(k)^2)*(m+k)^2 = 1.at n=21A383964