A042488 Numerators of continued fraction convergents to sqrt(772).

27, 28, 111, 139, 250, 389, 2195, 2584, 4779, 36037, 76853, 112890, 189743, 3338521, 3528264, 45677689, 49205953, 882178890, 931384843, 1813563733, 4558512309, 33723149896, 38281662205, 72004812101

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12448646853698, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 12448646853698*a(n-30) - a(n-60) for n>59. [Bruno Berselli, Nov 26 2013]

Mathematica

Numerator[Convergents[Sqrt[772], 30]] (* Vincenzo Librandi, Nov 25 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12448646853698, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {27, 28, 111, 139, 250, 389, 2195, 2584, 4779, 36037, 76853, 112890, 189743, 3338521, 3528264, 45677689, 49205953, 882178890, 931384843, 1813563733, 4558512309, 33723149896, 38281662205, 72004812101, 398305722710, 470310534811, 868616257521, 1338926792332, 4885396634517, 6224323426849, 340998861684363, 347223185111212, 1382668417017999, 1729891602129211, 3112560019147210, 4842451621276421, 27324818125529315, 32167269746805736, 59492087872335051, 448611884853151093, 956715857578637237, 1405327742431788330, 2362043600010425567, 41560068942609022969, 43922112542619448536, 568625419454042405401, 612547531996661853937, 10981933463397293922330, 11594480995393955776267, 22576414458791249698597, 56747309912976455173461, 419807583849626435912824, 476554893762602891086285, 896362477612229326999109, 4958367281823749526081830, 5854729759435978853080939, 10813097041259728379162769, 16667826800695707232243708, 60816577443346850075893893, 77484404244042557308137601}, 100] (* Harvey P. Dale, Dec 29 2021 *)

Crossrefs

Cf. A042489.

Sequence in context: A042478 A042476 A045861 * A042486 A290276 A338447

Adjacent sequences: A042485 A042486 A042487 * A042489 A042490 A042491

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved