57799

Appears in sequences

• Carlitz-Riordan q-Catalan numbers (recurrence version) for q=6.at n=4A015089
• Numerators of continued fraction convergents to sqrt(19).at n=11A041028
• Numerators of continued fraction convergents to sqrt(76).at n=11A041134
• Numerators of continued fraction convergents to sqrt(171).at n=3A041314
• Numerators of continued fraction convergents to sqrt(304).at n=11A041572
• Numerators of continued fraction convergents to sqrt(475).at n=9A041906
• Numerators of continued fraction convergents to sqrt(684).at n=7A042314
• a(n) is the smallest k such that (k^3 + 1)/(n^3 + 1) is an integer > 1.at n=38A065964
• 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=67A077232
• Triangle T(n,k), 0 <= k <= n, composed of k-Catalan numbers.at n=61A090182
• a(n) = n*(2*n^8 + 84*n^6 + 798*n^4 + 1636*n^2 + 315)/2835.at n=7A099196
• a(n) = n^3 - n^2 + 1.at n=39A100104
• x-values in the solution to x^2 - 19*y^2 = 1.at n=2A114048
• a(n) = 50*n^2 - 1.at n=33A157919
• a(n) = 38*n^2 + 1.at n=39A158593
• Number of lower triangles of a 4 X 4 0..n array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by one or less.at n=25A195234
• Positive fundamental solution x0 corresponding to the even y0 = 2*A261250 of the Pell equation x^2 - D y^2 = +1.at n=45A262024
• Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of continued fraction 1/(1 - x/(1 - k*x/(1 - k^2*x/(1 - k^3*x/(1 - k^4*x/(1 - ...)))))).at n=59A290759
• Crystal ball sequence for the lattice C_9.at n=3A305723
• Take the solution to Pellian equation x^2 - 8*n*y^2 = 1 with smallest positive y and x >= 0; sequence gives a(n) = x, or 1 if n is twice a positive square. A368339 gives values of y.at n=37A368340