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 A035308 #20 Aug 18 2025 02:12:43 %S A035308 1,10,550,38500,2983750,244667500,20796737500,1812287125000, %T A035308 160840482343750,14475643410937500,1317283550395312500, %U A035308 120950580536296875000,11187928699607460937500,1041337978963463671875000,97439482317295529296875000,9159311337825779753906250000 %N A035308 Expansion of 1/(1-100*x)^(1/10), related to deca-factorial numbers A045757. %H A035308 Seiichi Manyama, <a href="/A035308/b035308.txt">Table of n, a(n) for n = 0..500</a> %H A035308 Armin Straub, Victor H. Moll, and Tewodros Amdeberhan, <a href="http://dx.doi.org/10.4064/aa140-1-2">The p-adic valuation of k-central binomial coefficients</a>, Acta Arith. 140 (1) (2009), 31-41, eq (1.10). %H A035308 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a>. %F A035308 a(n) = 10^n*A045757(n)/n!, n >= 1, where A045757(n) = (10*n-9)(!^10) = Product_{j=1..n} (10*j-9). %F A035308 G.f.: (1-100*x)^(-1/10). %F A035308 a(n) ~ 10^(2*n) * n^(-9/10) / Gamma(1/10). - _Amiram Eldar_, Aug 18 2025 %t A035308 CoefficientList[Series[1/(1-100*x)^(1/10), {x, 0, 20}], x] (* _Amiram Eldar_, Aug 18 2025 *) %Y A035308 Cf. A045757, A035024, A004993, A000984, A004987, A256191. %K A035308 easy,nonn %O A035308 0,2 %A A035308 _Wolfdieter Lang_