A201226 Values y for infinite sequence x^3-y^2 = d with decreasing coefficient r=sqrt(x)/d which tend to 1/(1350*sqrt(5))or infinity family of solutions Mordell curve with extension sqrt(5).
476425, 3499913125, 20477027135825, 118398467411226125, 684132799477496491225, 3952927722012200964659125, 22840018438688230285823134625, 131969623469705492999569294932125, 762520461852550579069844280191898025
Offset: 1
Links
- Index entries for linear recurrences with constant coefficients, signature (6118,-1970319,33501524,-1970319,6118,-1).
Programs
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Mathematica
LinearRecurrence[{6118,-1970319,33501524,-1970319,6118,-1},{476425,3499913125,20477027135825,118398467411226125,684132799477496491225,3952927722012200964659125},20] (* Harvey P. Dale, Jun 12 2013 *)
Formula
G.f.: -((25*(-19057-23405799*z-130714666*z^2+9631442*z^3-30549*z^4+5*z^5))/((1-5778*z+z^2)*(1-322*z+z^2)*(1-18*z+z^2))).
a(n) = 6118*a(n-1) - 1970319*a(n-2) + 33501524*a(n-3) - 1970319*a(n-4) + 6118*a(n-5) - a(n-6).
Comments