24335
domain: N
Appears in sequences
- Take solution to Pellian equation x^2 - n*y^2 = 1 with smallest positive y and x >= 0; sequence gives a(n) = x, or 1 if n is a square. A002349 gives values of y.at n=45A002350
- Solution to a Pellian equation: least x such that x^2 - n*y^2 = +- 1.at n=45A006702
- Solution to Pellian: x such that x^2 - n y^2 = +- 1, +- 4.at n=45A006704
- First coordinate of fundamental unit of real quadratic field with discriminant A003658(n), n >= 2.at n=55A014000
- Value of x corresponding to the minimal solution of the Pell equation x^2+d*y^2, as d runs through the squarefree numbers.at n=28A023677
- Quasi-Carmichael numbers to base 3: squarefree composites n such that prime p|n ==> p-3|n-3.at n=8A029560
- Smallest positive integer x satisfying the Pell equation x^2 - D*y^2 = 1 for nonsquare D and positive y.at n=39A033313
- Incrementally largest values of minimal x satisfying Pell equation x^2 - D*y^2 = 1.at n=6A033315
- a(n) = 2*n^3 + 1.at n=23A033562
- Numerators of continued fraction convergents to sqrt(46).at n=11A041078
- Numerators of continued fraction convergents to sqrt(184).at n=11A041340
- Numerators of continued fraction convergents to sqrt(414).at n=7A041786
- Numerators of continued fraction convergents to sqrt(736).at n=7A042416
- Numbers k such that 255*2^k-1 is prime.at n=41A050886
- Write fundamental unit for real quadratic field of discriminant n as x + y*omega; sequence gives values of x for n == 2 mod 4.at n=10A053371
- Number of integers k not exceeding 2^n such that the cube of number of divisors [A000005(k)] is larger than k.at n=21A056764
- Numbers k such that k^2-1 and k^2 are consecutive powerful numbers.at n=9A060860
- a(n) is smallest natural number a satisfying Pell equation a^2 - d(n)*b^2= +1 or = -1, with d(n)=A000037(n) (a nonsquare). Corresponding smallest b(n)=A077233(n).at n=39A077232
- Numbers k that have no zero digits and such that both k+1 and (product of digits of k) + 1 are squares.at n=17A081990
- Least integer x>0 such that x^2=ceiling(x*r*floor(x/r)) where r=sqrt(n).at n=45A091015