This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A078976 #22 May 09 2025 03:16:33 %S A078976 1,2,37,261,298,559,5888,318511,5102064,5420575,10522639,205350716, %T A078976 18492087079,462507527691,480999614770,943507142461,26899199603678, %U A078976 3390242657205889,115295149544603904,118685392201809793,233980541746413697,8775965436819116582,1421940381306443299981 %N A078976 Numerator of n-th convergent to e^(2/3). %F A078976 Special cases : a(5k+1) = A001518(3k); a(5k+3) = A001518(3k+2). %t A078976 Convergents[Exp[2/3], 25] // Numerator (* _Amiram Eldar_, May 09 2025 *) %o A078976 (PARI) %o A078976 default(realprecision,100); /* large enough */ %o A078976 a(n)=contfracpnqn(contfrac(exp(2/3), n))[1,1] %o A078976 vector(30,n,a(n)) %Y A078976 Cf. A069951, A001518, A007676, A078977 (denominators). %K A078976 frac,nonn %O A078976 1,2 %A A078976 _Benoit Cloitre_, Dec 19 2002