A042593 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A042593

Denominators of continued fraction convergents to sqrt(825).

1, 1, 3, 4, 7, 11, 18, 83, 101, 184, 285, 469, 1223, 1692, 95975, 97667, 291309, 388976, 680285, 1069261, 1749546, 8067445, 9816991, 17884436, 27701427, 45585863, 118873153, 164459016, 9328578049, 9493037065, 28314652179, 37807689244, 66122341423

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

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, 0, 0, 0, 0, 97198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^26 -x^25 +3*x^24 -4*x^23 +7*x^22 -11*x^21 +18*x^20 -83*x^19 +101*x^18 -184*x^17 +285*x^16 -469*x^15 +1223*x^14 -1692*x^13 -1223*x^12 -469*x^11 -285*x^10 -184*x^9 -101*x^8 -83*x^7 -18*x^6 -11*x^5 -7*x^4 -4*x^3 -3*x^2 -x -1) / (x^28 -97198*x^14 +1). - Colin Barker, Dec 19 2013

a(n) = 97198*a(n-14) - a(n-28) for n>27. - Vincenzo Librandi, Jan 25 2014

MATHEMATICA

Denominator[Convergents[Sqrt[825], 30]] (* Harvey P. Dale, Oct 16 2013 *)

CROSSREFS

Cf. A042592, A040796.

Sequence in context: A041209 A293420 A041739 * A041018 A361907 A072255

Adjacent sequences: A042590 A042591 A042592 * A042594 A042595 A042596

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Colin Barker, Dec 19 2013

STATUS

approved