A042614 Numerators of continued fraction convergents to sqrt(836).

28, 29, 318, 347, 665, 1677, 2342, 4019, 42532, 46551, 2649388, 2695939, 29608778, 32304717, 61913495, 156131707, 218045202, 374176909, 3959814292, 4333991201, 246663321548, 250997312749, 2756636449038, 3007633761787, 5764270210825, 14536174183437

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, 0, 0, 0, 0, 0, 0, 93102, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -28*x^18 +29*x^17 -318*x^16 +347*x^15 -665*x^14 +1677*x^13 -2342*x^12 +4019*x^11 -42532*x^10 -46551*x^9 -42532*x^8 -4019*x^7 -2342*x^6 -1677*x^5 -665*x^4 -347*x^3 -318*x^2 -29*x -28) / (x^20 -93102*x^10 +1). - Colin Barker, Dec 20 2013

Mathematica

Numerator[Convergents[Sqrt[836], 30]] (* Vincenzo Librandi, Nov 29 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 93102, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {28, 29, 318, 347, 665, 1677, 2342, 4019, 42532, 46551, 2649388, 2695939, 29608778, 32304717, 61913495, 156131707, 218045202, 374176909, 3959814292, 4333991201}, 30] (* Harvey P. Dale, Feb 24 2021 *)

Crossrefs

Cf. A042615, A040807.

Sequence in context: A042608 A042610 A042612 * A042616 A042618 A042620

Adjacent sequences: A042611 A042612 A042613 * A042615 A042616 A042617

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 20 2013

Status

approved