A041854 Numerators of continued fraction convergents to sqrt(449).

21, 106, 339, 445, 784, 1229, 9387, 10616, 62467, 322951, 385418, 3020877, 3406295, 6427172, 9833467, 35927573, 189471332, 7993723517, 40158088917, 128467990268, 168626079185, 297094069453, 465720148638

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, 378942664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 378942664*a(n-17) + a(n-34) for n>33. [Bruno Berselli, Nov 10 2013]

Mathematica

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 *)

Crossrefs

Cf. A041855.

Sequence in context: A219631 A226742 A077400 * A219820 A071333 A222347

Adjacent sequences: A041851 A041852 A041853 * A041855 A041856 A041857

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved