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A041668 Numerators of continued fraction convergents to sqrt(353). 2
18, 19, 75, 94, 263, 357, 620, 977, 1597, 2574, 4171, 10916, 15087, 56177, 71264, 2621681, 2692945, 10700516, 13393461, 37487438, 50880899, 88368337, 139249236, 227617573, 366866809, 594484382 (list; graph; refs; listen; history; text; internal format)
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, 142528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
FORMULA
a(n) = 142528*a(n-15) + a(n-30) for n>29. [Bruno Berselli, Nov 06 2013]
MATHEMATICA
Numerator[Convergents[Sqrt[353], 30]] (* Vincenzo Librandi, Nov 06 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 142528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {18, 19, 75, 94, 263, 357, 620, 977, 1597, 2574, 4171, 10916, 15087, 56177, 71264, 2621681, 2692945, 10700516, 13393461, 37487438, 50880899, 88368337, 139249236, 227617573, 366866809, 594484382, 1555835573, 2150319955, 8006795438, 10157115393}, 30] (* Harvey P. Dale, Dec 31 2022 *)
CROSSREFS
Cf. A041669.
Sequence in context: A042517 A041660 A257314 * A041666 A041670 A041672
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved

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Last modified March 29 05:28 EDT 2024. Contains 371264 sequences. (Running on oeis4.)