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 A249829 #38 Feb 26 2022 16:32:18 %S A249829 2,5,22,27,35,95,104,197,5935,7399,8998,11671,43628,165535,258335, %T A249829 549545,1542194,2159448,3121515,5814278,9242360,21603225,28563732, %U A249829 40700787,252544447,5042264463,11012237562,31774693500,203839526676,291409419928,421559495894 %N A249829 Numbers m > 1 such that the fractional part of log_10(m!) is less than at any smaller m > 1. %C A249829 This sequence is similar to A177901 (Numbers n > 1 such that s(n) = Sum_{k=2..n} log_10(k) is closer to an integer than at any smaller n) except that the values of s(n) are approaching integers strictly from above. %e A249829 01: log_10(2!) = 0.301029995663981+ %e A249829 02: log_10(5!) = 2.079181246047624+ %e A249829 03: log_10(22!) = 21.050766592433840+ %e A249829 04: log_10(27!) = 28.036982790964881+ %e A249829 05: log_10(35!) = 40.014232648350316+ %e A249829 06: log_10(95!) = 148.014099417119930+ %e A249829 07: log_10(104!) = 166.012795764264301+ %e A249829 08: log_10(197!) = 368.000340377705033+ %e A249829 09: log_10(5935!) = 19820.000049027723957+ %e A249829 10: log_10(7399!) = 25417.000038890177487+ %e A249829 11: log_10(8998!) = 31674.000026273546156+ %e A249829 12: log_10(11671!) = 42401.000022770999784+ %e A249829 13: log_10(43628!) = 183479.000020074434223+ %e A249829 14: log_10(165535!) = 792021.000004677597983+ %e A249829 15: log_10(258335!) = 1285966.000004657640797+ %e A249829 16: log_10(549545!) = 2915729.000001700437755+ %e A249829 17: log_10(1542194!) = 8873548.000001330888624+ %e A249829 18: log_10(2159448!) = 12740851.000000524918472+ %e A249829 19: log_10(3121515!) = 18916606.000000301890432+ %e A249829 20: log_10(5814278!) = 36805554.000000047404977+ %e A249829 21: log_10(9242360!) = 60366371.000000019402831+ %e A249829 22: log_10(21603225!) = 149067098.000000015088131+ %e A249829 23: log_10(28563732!) = 200560833.000000014728648+ %e A249829 24: log_10(40700787!) = 292040700.000000011129474+ %e A249829 25: log_10(252544447!) = 2012285104.000000000412667+ %e A249829 26: log_10(5042264463!) = 46733376736.000000000051832+ %e A249829 27: log_10(11012237562!) = 105800965362.000000000047200+ %e A249829 28: log_10(31774693500!) = 319900842599.000000000026403+ %e A249829 29: log_10(203839526676!) = 2216753613325.000000000006671+ %e A249829 30: log_10(291409419928!) = 3214306836834.000000000006605+ %e A249829 31: log_10(421559495894!) = 4717488684964.000000000000681+ %o A249829 (PARI) n=2;f=1;while(n,if((F=frac(lngamma(n+1)/log(10)))<f,f=F;print1(n,", "));n++) \\ _Derek Orr_, Nov 13 2014 %Y A249829 Cf. A177901, A250022. %K A249829 nonn %O A249829 1,1 %A A249829 _Jon E. Schoenfield_, Nov 10 2014