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 A344745 #23 Aug 04 2023 10:12:34 %S A344745 -1,3,-14,195,-924,267995,-164604,45886995,-519348280,843061472253, %T A344745 -33644021190,19713207603254165,-29447897812956,7112683552535920515, %U A344745 -219530334327028402216,2896662162807666940995,-59209706525969052144,63061212713478261338180955809,-124888410979403015484540 %N A344745 Numerators of generalized binomial coefficients (-1/k choose k). %F A344745 a(k) = numerator of binomial(-1/k, k). %F A344745 a(n) is the numerator of coefficient of x^n in expansion of (1 + x)^(-1/n). - _Ilya Gutkovskiy_, Aug 04 2023 %e A344745 The fractions are -1, 3/8, -14/81, 195/2048, -924/15625, 267995/6718464, -164604/5764801, 45886995/2147483648, -519348280/31381059609, 843061472253/64000000000000, ... %t A344745 a[n_] := Numerator @ Binomial[-1/n, n]; Array[a, 20] (* _Amiram Eldar_, May 28 2021 *) %o A344745 (PARI) a(n) = numerator(binomial(-1/n, n)); \\ _Michel Marcus_, Jun 15 2021 %Y A344745 Cf. A344746 (denominators). %K A344745 sign,frac %O A344745 1,2 %A A344745 _Chris Grossack_, May 28 2021