[seqfan] Re: Revenant numbers

[cwwuieee]

The next term after 62227496 that doesn't contain a 0 in the product is 6886826188 with the product being 97488368868261888.ChaiwahSent via the Samsung Galaxy S8+, an AT&T 5G Evolution capable smartphone
-------- Original message --------From: Neil Sloane <njasloane at gmail.com> Date: 10/19/19  2:51 PM  (GMT-05:00) To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu> Subject: [seqfan] Re: Revenant numbers Eric, Very nice!  It is now A328095.Best regardsNeilNeil J. A. Sloane, President, OEIS Foundation.11 South Adelaide Avenue, Highland Park, NJ 08904, USA.Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.Phone: 732 828 6098; home page: http://NeilSloane.comEmail: njasloane at gmail.comOn Sat, Oct 19, 2019 at 12:51 PM Éric Angelini <bk263401 at skynet.be> wrote:> Hello SeqFans (cross-posted on Math-Fun),> Take an integer abc...z and multiply it by all its digits: if the string> abc...z appears in the result, we have a "revenant number".>> Look at 87 for instance: 87 * 8 * 7 = 4872. As the string 87 is visible in> the result, 87 is a revenant.> So is 792 because 792 * 7 * 9 * 2 = 99792.> And 9375 as 9375 * 9 * 3 * 7 * 5 = 8859375.>> If we start a sequence R of revenants we'll get (not in the OEIS):>> R = 0, 1, 5, 6, 11, 25, 52, 77, 87, 111, 125, 152, 215, 251, 375, 376,> 455, 512, 521, 545, 554, 736, 792, 1111, 1125, 1152, 1215, 1251, 1455,> 1512, 1521, 1545, 1554, 2115, 2151, 2174, 2255, 2511, 2525, 2552, 4155,> 4515, 4551, 5112, 5121, 5145, 5154, 5211, 5225, 5252, 5415, 5451, 5514,> 5522, 5541, 5558, 5585, 5855, 8555, 8772, 9375,...>> R is infinite, of course, as all repunits (like 11, 111, 1111, 1111,...)> will be in R.>> Will you find the next revenant > 62227496 whose "image" doesn't show any> zero?>> More details, DiCaprio and a graph here:> http://cinquantesignes.blogspot.com/2019/10/revenant-numbers.html>> Best,> É.>> --> Seqfan Mailing list - http://list.seqfan.eu/>--Seqfan Mailing list - http://list.seqfan.eu/