The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A333594 Lexicographically earliest sequence of distinct positive integers such that the decimal expansion of neither a(n)/a(n+1) nor a(n+1)/a(n) contains a significant digit present in either a(n) or a(n+1), with a(1) = 7. 1
 7, 14, 42, 28, 84, 77, 9, 18, 5, 3, 2, 6, 8, 4, 11, 40, 12, 400, 22, 24, 72, 44, 36, 16, 48, 30, 20, 60, 33, 37, 45, 15, 50, 150, 54, 66, 55, 82, 75, 25, 220, 32, 288, 96, 396, 88, 64, 192, 576, 640, 480, 80, 160, 360, 63, 70, 21, 700, 140, 420, 126, 4158, 154, 462, 1540, 518, 1188, 444, 74, 90, 27, 81, 165, 495, 297, 99 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS By "significant digit" we mean to exclude from the quotients any zeros preceding the first nonzero digit, as well as zeros following the last nonzero digit (as in a terminating decimal). Is the sequence infinite? LINKS Carole Dubois, Table of n, a(n) for n = 1..300 EXAMPLE a(1)/a(2) = 7/14 = .5 and a(2)/a(1) = 14/7 = 2 and their combined distinct significant digits (2,5) are exclusive of the combined distinct digits of a(1) and a(2), (1,4,7). a(5)/a(6) = 84/77 = 1.090909... and a(6)/a(5) = 77/84 = .916666... and their combined distinct significant digits (0,1,6,9) are exclusive of the combined distinct digits of a(5) and a(6), (4,7,8). a(299)/a(300) = 656/21648 = .03030303... and a(300)/a(299) = 21648/656 = 33 and their combined distinct significant digits (0,3) is exclusive of the combined distinct digits of a(299) and a(300), (1,2,4,5,6,8). CROSSREFS Cf. A333480 (where a(1) = 2). Sequence in context: A304143 A055780 A161814 * A067048 A189046 A098328 Adjacent sequences:  A333591 A333592 A333593 * A333595 A333596 A333597 KEYWORD base,nonn AUTHOR Carole Dubois and Eric Angelini, Mar 27 2020 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 5 06:51 EST 2020. Contains 338944 sequences. (Running on oeis4.)