13051463048
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=14A001108
- Expansion of 1/((1 - x)*(1 - 2*x - x^2)).at n=26A048739
- Numbers k such that k and k+1 are powerful numbers.at n=14A060355
- Powerful numbers of the form k^2 - 1.at n=11A060859
- Expansion of g.f. x/(1 - x - 3*x^2 - x^3).at n=28A097076
- a(n) = 2*A079291(n) (twice squares of Pell numbers).at n=14A114619
- Consider all Pythagorean triples (X,X+1,Z) ordered by increasing Z; sequence gives Z-(X+1) values.at n=13A115598
- X-values of solutions to the equation X*(X + 1) - 8*Y^2 = 0.at n=7A132592
- Primitive elements of A060355: n such that n and n+1 are powerful but n is not of the form 4m(m+1) where m and m+1 are powerful.at n=9A199801
- Smaller of a pair of numbers (m, m+1) such that both are products P of composite prime powers with omega(P) > 1.at n=10A358174