53040

Appears in sequences

• Numbers whose base-4 representation contains exactly four 0's and four 3's.at n=18A045085
• Number of open positions in the game Fair Share and Varied Pairs starting with n tokens.at n=42A060463
• a(n) = A080315(n) - 2^A000523(A080315(n)), i.e., the terms of A080315 without their most significant bit.at n=13A080316
• A014486-encoding of the Catalan mountain ranges with only even-length slopes allowed.at n=12A083932
• Numbers that can be expressed as the difference of the squares of primes in exactly six distinct ways.at n=31A092002
• Location of records in A099564.at n=16A099565
• Lee weight enumerator of a certain code over GF(4).at n=7A105922
• Positive integers n such that n^2 = (x^4 - y^4)*(z^4 - t^4) where the pairs of integers (x,y) and (z,t) are not proportional.at n=35A147854
• Positive integers n such that n^2 = (x^4 - y^4)*(z^4 - t^4) where x>y and z>t are distinct pairs of integers with gcd(x,y)=gcd(z,t)=1.at n=11A147856
• Number of ways to place 2 nonattacking amazons (superqueens) on an n X n board.at n=18A172200
• Numbers with prime factorization p*q*r*s*t^4 (where p, q, r, s, t are distinct primes).at n=11A190110
• Array read by antidiagonals: T(m,n) = Sum(1<=i<=m) i * (2m+n-1-i)!at n=13A211365
• Integer areas A of integer-sided cyclic quadrilaterals such that the circumradius is of prime length.at n=21A230136
• Positive integers that have a record number of divisors in Gaussian integers.at n=38A279254
• Logarithmic derivative of F(x) that satisfies: [x^n] exp( n*(n-1) * x ) / F(x) = 0 for n>0.at n=3A304316
• Numbers that set a record for occurrences as longest side of a triangle with integer sides and positive integer area.at n=45A322105
• G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x)^5).at n=10A364738
• a(n) is the smallest integer k whose set of divisors contains exactly n triples (x,y,z) of distinct divisors considered as integer-sided triangles with integer areas, or 0 if no such k exists.at n=37A377418