48024900
domain: N
Appears in sequences
- Square triangular numbers: numbers that are both triangular and square.at n=6A001110
- Squares of even square pyramidal numbers.at n=12A014798
- Nontrivial binomial coefficients which are perfect powers (A001597).at n=5A075760
- Square numbers which equal a triangular number times an odd number between 1 and 15.at n=21A094973
- Sum of the areas of the first n+1 Pell triangles.at n=11A096979
- Numbers which are powerful(1) (A001694) and triangular at the same time.at n=6A113938
- Even refactorable numbers k such that the number r of odd divisors is odd, the number s of even divisors is even, both r and s are divisors of k and k is the first number for which the triple (r,s,t) occurs, where t is the number of divisors of k.at n=28A120359
- Triangle T(n, k, m) = b(n,m)/(b(k,m)*b(n-k,m)), where b(n, k) = Product_{j=1..n} (1 - ChebyshevT(j, k+1)^2), b(n, 0) = n!, and m = 2, read by rows.at n=22A156645
- Triangle T(n, k, m) = b(n,m)/(b(k,m)*b(n-k,m)), where b(n, k) = Product_{j=1..n} (1 - ChebyshevT(j, k+1)^2), b(n, 0) = n!, and m = 2, read by rows.at n=26A156645
- Perfect squares that are a product of two distinct triangular numbers.at n=24A169836
- A204512(n)^2 = floor[A055872(n)/8]: Squares such that appending some digit in base 8 yields another square.at n=13A204504
- Square triangular numbers that can be expressed as sums of a positive square number and a positive triangular number. Intersection of A182427 and A214937.at n=2A218273
- a(n) = ( n*(n + 1)*(2*n + 1)/6 )^2.at n=27A271535
- Denominators of the Kirchhoff sum index for the n-hypercube graph.at n=11A290345
- a(n) is the largest triangular number that is prime(n)-smooth.at n=4A303339
- Numbers that are both k-gonal and (k+1)-gonal for some k >= 3.at n=19A378245