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A381124
Numerators of convergents to the supergolden ratio.
3
1, 3, 19, 22, 85, 447, 1873, 41653, 43526, 85179, 384242, 469421, 1323084, 111608477, 112931561, 450403160, 563334721, 3830411486, 4393746207, 17011650107, 21405396314, 209660216933, 231065613247, 440725830180, 671791443427, 1112517273607, 21809619641960, 66541376199487
OFFSET
0,2
LINKS
Eric Weisstein's World of Mathematics, Convergent.
Eric Weisstein's World of Mathematics, Numerator.
Eric Weisstein's World of Mathematics, Supergolden Ratio.
MATHEMATICA
Numerator[Convergents[Root[-1 - #^2 + #^3&, 1, 0], 20]]
CROSSREFS
Cf. A092526 (decimal digits), A369346 (continued fraction).
Cf. A381125 (denominators of convergents).
Sequence in context: A043073 A359314 A022128 * A041381 A042231 A191074
KEYWORD
nonn,frac,easy
AUTHOR
Eric W. Weisstein, Feb 14 2025
STATUS
approved