48842
domain: N
Appears in sequences
- Solution to a Pellian equation: least x such that x^2 - n*y^2 = +- 1.at n=66A006702
- Solution to Pellian: x such that x^2 - n y^2 = +- 1, +- 4.at n=66A006704
- 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=40A023677
- Smallest positive integer x satisfying the Pell equation x^2 - D*y^2 = 1 for nonsquare D and positive y.at n=58A033313
- Numerators of continued fraction convergents to sqrt(67).at n=9A041116
- Numerators of continued fraction convergents to sqrt(603).at n=9A042156
- Write fundamental unit for real quadratic field of discriminant n as x + y*omega; sequence gives values of x for n == 3 mod 4.at n=14A053372
- 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=58A077232
- Let p = n-th prime of the form 4k+3, 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=9A081231
- 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=18A081233
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 0, -1), (1, 0, 0), (1, 0, 1)}.at n=9A150060
- a(n) = 81*n^2 - 72*n + 17.at n=25A154277
- a(n) = 6561*n^2 - 3564*n + 485.at n=3A156774
- a(n) = 531441*n^2 - 740664*n + 258065.at n=0A157667
- x-values in the solution to x^2 - 67*y^2 = 1.at n=1A176373
- The positive fundamental solutions x = x0(n) for the Pell equation x^2 - d*y^2 = +1 with odd y = y0(n). Then d coincides with d(n) = A007970(n).at n=19A262027
- Values of n such that A080221(n)=6; i.e., values of n such that n is divisible by the sum of digits of n when expressed in exactly 6 of the bases b=1...n.at n=36A271311