66249

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=52A002350
• Smallest positive integer x satisfying the Pell equation x^2 - D*y^2 = 1 for nonsquare D and positive y.at n=45A033313
• Incrementally largest values of minimal x satisfying Pell equation x^2 - D*y^2 = 1.at n=7A033315
• Numerators of continued fraction convergents to sqrt(53).at n=9A041090
• Numerators of continued fraction convergents to sqrt(212).at n=13A041394
• Numerators of continued fraction convergents to sqrt(848).at n=5A042636
• Composite n such that (n-1)*phi(n) is a perfect square.at n=36A069953
• Let p = n-th prime of the form 4k+1, take smallest solution (x,y) to the Pellian equation x^2 - p*y^2 = 1 with x and y >= 1; sequence gives value of x.at n=6A081232
• Let p = n-th prime, take smallest solution (x,y) to the Pellian equation x^2 - p*y^2 = 1 with x and y >= 1; sequence gives value of x.at n=15A081233
• Least integer x>0 such that x^2=ceiling(x*r*floor(x/r)) where r=sqrt(n).at n=52A091015
• Numbers n such that n-1, n and n+1 can be expressed as a sum of 2 squares in at least 2 ways.at n=8A091459
• Middle term of a triple of consecutive numbers which are sums of two squares.at n=13A096129
• a(n) = 4*n^3 - 6*n^2 + 1.at n=26A141530
• a(n) = 1250*n^2 - 1800*n + 649.at n=8A154358
• a(n) = 781250*n^2 - 1107500*n + 392499.at n=0A157620
• x-values in the solution to x^2-53*y^2=1.at n=1A174757
• Number of 4-length words w over n-ary alphabet such that for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z.at n=17A213283
• Positive fundamental solution x0 corresponding to the even y0 = 2*A261250 of the Pell equation x^2 - D y^2 = +1.at n=28A262024
• Least number k such that k^2-1 is the sum of two nonzero squares in exactly n ways.at n=14A274567
• Numbers k such that sigma(k)^2 is divisible by k-1.at n=41A344347