A042474 Numerators of continued fraction convergents to sqrt(765).

27, 28, 55, 83, 1134, 6887, 90665, 97552, 188217, 285769, 15619743, 15905512, 31525255, 47430767, 648125226, 3936182123, 51818492825, 55754674948, 107573167773, 163327842721, 8927276674707, 9090604517428, 18017881192135, 27108485709563, 370428195416454

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,571538,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -27*x^18 +28*x^17 -55*x^16 +83*x^15 -1134*x^14 +6887*x^13 -90665*x^12 +97552*x^11 -188217*x^10 -285769*x^9 -188217*x^8 -97552*x^7 -90665*x^6 -6887*x^5 -1134*x^4 -83*x^3 -55*x^2 -28*x -27) / ((x^10 -756*x^5 -1)*(x^10 +756*x^5 -1)). - Colin Barker, Dec 15 2013

Mathematica

Numerator[Convergents[Sqrt[765], 30]] (* Vincenzo Librandi, Nov 25 2013 *)

Crossrefs

Cf. A042475, A040737.

Sequence in context: A042470 A042468 A042472 * A042466 A042464 A042462

Adjacent sequences: A042471 A042472 A042473 * A042475 A042476 A042477

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 15 2013

Status

approved