%I #12 Feb 14 2025 23:11:34

%S 1,3,19,22,85,447,1873,41653,43526,85179,384242,469421,1323084,

%T 111608477,112931561,450403160,563334721,3830411486,4393746207,

%U 17011650107,21405396314,209660216933,231065613247,440725830180,671791443427,1112517273607,21809619641960,66541376199487

%N Numerators of convergents to the supergolden ratio.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Convergent.html">Convergent</a>.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Numerator.html">Numerator</a>.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SupergoldenRatio.html">Supergolden Ratio</a>.

%t Numerator[Convergents[Root[-1 - #^2 + #^3&, 1, 0], 20]]

%Y Cf. A092526 (decimal digits), A369346 (continued fraction).

%Y Cf. A381125 (denominators of convergents).

%K nonn,frac,easy

%O 0,2

%A _Eric W. Weisstein_, Feb 14 2025