A041472 Numerators of continued fraction convergents to sqrt(252).

15, 16, 111, 127, 3921, 4048, 28209, 32257, 995919, 1028176, 7164975, 8193151, 252959505, 261152656, 1819875441, 2081028097, 64250718351, 66331746448, 462241197039, 528572943487, 16319429501649, 16848002445136, 117407444172465, 134255446617601

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,254,0,0,0,-1).

Formula

G.f.: -(x^7-15*x^6+16*x^5-111*x^4-127*x^3-111*x^2-16*x-15) / ((x^4-16*x^2+1)*(x^4+16*x^2+1)). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[252], 30]] (* Vincenzo Librandi, Nov 03 2013 *)
LinearRecurrence[{0, 0, 0, 254, 0, 0, 0, -1}, {15, 16, 111, 127, 3921, 4048, 28209, 32257}, 30] (* Harvey P. Dale, Sep 20 2019 *)

Crossrefs

Cf. A041473.

Sequence in context: A152044 A041468 A041470 * A041474 A033051 A041111

Adjacent sequences: A041469 A041470 A041471 * A041473 A041474 A041475

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved