443365544448
domain: N
Appears in sequences
- a(n)-th triangular number is a square: a(n+1) = 6*a(n) - a(n-1) + 2, with a(0) = 0, a(1) = 1.at n=16A001108
- Numbers k such that k and k+1 are powerful numbers.at n=16A060355
- Powerful numbers of the form k^2 - 1.at n=13A060859
- a(n) = 2*A079291(n) (twice squares of Pell numbers).at n=16A114619
- Consider all Pythagorean triples (X,X+1,Z) ordered by increasing Z; sequence gives Z-(X+1) values.at n=15A115598
- X-values of solutions to the equation X*(X + 1) - 8*Y^2 = 0.at n=8A132592
- a(n+1) = 4*a(n)*(a(n)+1) for a(0) = 1.at n=4A190840
- a(n) = 1/2 * (-1 + Sum_{k=0..n} binomial(2*n,2*k)*(n+1)^(n-k)*n^k).at n=8A322746