A381124 Numerators of convergents to the supergolden ratio.

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

Author

Eric W. Weisstein, Feb 14 2025

Keywords

• nonn
• frac
• easy

Links

• Eric Weisstein's World of Mathematics, Convergent.
• Eric Weisstein's World of Mathematics, Numerator.
• Eric Weisstein's World of Mathematics, Supergolden Ratio.

Crossrefs

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

Cf. A381125 (denominators of convergents).

Programs

Mathematica

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