A041255 - OEIS

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A041255

Denominators of continued fraction convergents to sqrt(139).

1, 1, 4, 5, 19, 138, 157, 295, 747, 8512, 17771, 26283, 44054, 334661, 1048037, 1382698, 5196131, 6578829, 149930369, 156509198, 619457963, 775967161, 2947359446, 21407483283, 24354842729, 45762326012

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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, 0, 0, 0, 0, 155126500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

a(n) = 155126500*a(n-18) - a(n-36) for n>35. [Bruno Berselli, Dec 14 2013]

MATHEMATICA

Denominator[Convergents[Sqrt[139], 30]] (* Vincenzo Librandi, Dec 13 2013 *)

CROSSREFS

Cf. A041254.

Sequence in context: A047023 A032319 A346060 * A042835 A193964 A337443

Adjacent sequences: A041252 A041253 A041254 * A041256 A041257 A041258

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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