A078976 Numerator of n-th convergent to e^(2/3).
1, 2, 37, 261, 298, 559, 5888, 318511, 5102064, 5420575, 10522639, 205350716, 18492087079, 462507527691, 480999614770, 943507142461, 26899199603678, 3390242657205889, 115295149544603904, 118685392201809793, 233980541746413697, 8775965436819116582, 1421940381306443299981
Offset: 1
Programs
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Mathematica
Convergents[Exp[2/3], 25] // Numerator (* Amiram Eldar, May 09 2025 *)
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PARI
default(realprecision,100); /* large enough */ a(n)=contfracpnqn(contfrac(exp(2/3), n))[1,1] vector(30,n,a(n))