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 A045527 #21 Jan 05 2025 19:51:35 %S A045527 14,29,31,33,40,52,60,65,71,79,121,131,145,151,246,251,256,286,303, %T A045527 329,346,357,373,423,434,448,478,494,543,579,610,650,678,684,703,738, %U A045527 746,754,771,780,810,834,847 %N A045527 Numbers k such that k! has initial digit '8'. %C A045527 The asymptotic density of this sequence is log_10(9/8) = 0.051152... (Kunoff, 1987). - _Amiram Eldar_, Jul 17 2020 %H A045527 Chai Wah Wu, <a href="/A045527/b045527.txt">Table of n, a(n) for n = 1..10000</a> %H A045527 Sharon Kunoff, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Scanned/25-4/kunoff.pdf">N! has the first digit property</a>, The Fibonacci Quarterly, Vol. 25, No. 4 (1987), pp. 365-367. %H A045527 <a href="/index/Fa#factorial">Index entries for sequences related to factorial numbers</a> %F A045527 A008905(a(n)) = 8. - _Amiram Eldar_, Jul 17 2020 %e A045527 14 is a term since 14! = 87178291200 has the initial digit 8. %t A045527 Select[ Range[ 900 ], IntegerDigits[ #! ] [ [1] ] == 8 & ] %o A045527 (PARI) isok(n) = digits(n!)[1] == 8; \\ _Michel Marcus_, Feb 08 2017 %Y A045527 For factorials with initial digit d (1 <= d <= 9) see A045509, A045510, A045511, A045516, A045517, A045518, A282021, A045519; A045520, A045521, A045522, A045523, A045524, A045525, A045526, A045527, A045528, A045529. See also A000142, A008905. %K A045527 nonn,base %O A045527 1,1 %A A045527 _Jeff Burch_