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A042488
Numerators of continued fraction convergents to sqrt(772).
2
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
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
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved