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A041854
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Numerators of continued fraction convergents to sqrt(449).
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2
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21, 106, 339, 445, 784, 1229, 9387, 10616, 62467, 322951, 385418, 3020877, 3406295, 6427172, 9833467, 35927573, 189471332, 7993723517, 40158088917, 128467990268, 168626079185, 297094069453, 465720148638
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OFFSET
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0,1
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LINKS
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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, 378942664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
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FORMULA
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a(n) = 378942664*a(n-17) + a(n-34) for n>33. [Bruno Berselli, Nov 10 2013]
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MATHEMATICA
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Numerator[Convergents[Sqrt[449], 30]] (* Vincenzo Librandi, Nov 10 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 378942664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {21, 106, 339, 445, 784, 1229, 9387, 10616, 62467, 322951, 385418, 3020877, 3406295, 6427172, 9833467, 35927573, 189471332, 7993723517, 40158088917, 128467990268, 168626079185, 297094069453, 465720148638, 3557135109919, 4022855258557, 23671411402704, 122379912272077, 146051323674781, 1144739177995544, 1290790501670325, 2435529679665869, 3726320181336194, 13614490223674451, 71798771299708449}, 30] (* Harvey P. Dale, Nov 14 2021 *)
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CROSSREFS
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Cf. A041855.
Sequence in context: A219631 A226742 A077400 * A219820 A071333 A222347
Adjacent sequences: A041851 A041852 A041853 * A041855 A041856 A041857
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KEYWORD
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nonn,cofr,frac,easy,less
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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