52500

Appears in sequences

• Numbers k that can be expressed as k = w+x = y*z with w*x = (y+z)^3 where w, x, y, and z are all positive integers.at n=27A057370
• Consider the solutions to k = a+b = x*y and a*b = k*(x+y) where k, a, b, x, and y are all positive integers, ordered by increasing k and, in case of ties, by increasing x. Sequence gives values of a*b.at n=11A057421
• Triangle read by rows: T(n, k) = binomial(n, k)*k^k*(n-k)^(n-k-1) k=0..n-1.at n=23A066320
• Numerators of coefficients of e^2 in the table of (2n)th du Bois Reymond constants.at n=40A085467
• Areas, in ascending order, of integer-sided right triangles whose hypotenuses are squares.at n=13A141502
• Partition number array, called M31(-5), related to A049411(n,m) = S1(-5;n,m) (generalized Stirling triangle).at n=36A144879
• Worpitzky(n, k)*Harmonic(k), triangle read by rows.at n=32A176276
• a(n) = Product_{i=2..n} (tau(i)+1)/(tau(i)-1), where tau(.)=A000005(.).at n=14A181574
• Ordered (2,2)-selections from the multiset {1,1,2,2,3,3,...,n,n}.at n=21A188667
• Triangle read by rows giving coefficients of Genocchi q-numbers B_n(1,q) (n >= 1) expanded in powers of q.at n=45A193762
• Record (maximal) gaps between prime triples (p, p+2, p+6).at n=42A201598
• Area A of the triangles such that A, the sides and one of the altitudes are four consecutive integers of an arithmetic progression d.at n=24A210645
• Triangle T(n, k) of the number of n X n binary matrices with k = 0..n^2 1's and no more than three 1's in the corners of any square sub-block.at n=39A227436
• Number of partitions p of n such that max(p) - (number of parts of p) is not a part of p.at n=42A238545
• Triangle read by rows: terms T(n,k) of a binomial decomposition of n^n as Sum(k=0..n)T(n,k).at n=33A244137
• G.f.: Product_{m>0} (1 + x^m + 2!*x^(2*m) + 3!*x^(3*m)).at n=33A289485
• Number of nonisomorphic proper colorings of partition star graph using six colors.at n=34A297570
• Number of 6-cycles in the n-polygon diagonal intersection graph.at n=32A300554
• a(n) = n*(n + 1)*(7*n + 5)/6.at n=35A304993
• Numbers m such that sigma(sigma(m))/m is a square.at n=31A318084