The On-Line Encyclopedia of Integer Sequences (OEIS)

A042175 revision #13

A042175

Denominators of continued fraction convergents to sqrt(612).

1, 1, 3, 4, 19, 23, 65, 88, 4289, 4377, 13043, 17420, 82723, 100143, 283009, 383152, 18674305, 19057457, 56789219, 75846676, 360175923, 436022599, 1232221121, 1668243720, 81307919681, 82976163401, 247260246483, 330236409884, 1568205886019, 1898442295903

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

OFFSET

0,3

LINKS

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

Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,4354,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^2-x-1)*(x^4+4*x^2+1)*(x^8+22*x^4+1) / ((x^4-8*x^2-1)*(x^4+8*x^2-1)*(x^8+66*x^4+1)). - Colin Barker, Dec 03 2013

MATHEMATICA

Denominator[Convergents[Sqrt[612], 30]] (* Vincenzo Librandi, Jan 16 2014_ *)

CROSSREFS

Cf. A042174, A040587.