cp's OEIS Frontend

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.

A139079 Smallest number not yet in the sequence that contains the last digit of the previous term, with a(1) = 1.

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%I A139079 #13 Jun 28 2025 22:36:56
%S A139079 1,10,20,30,40,50,60,70,80,90,100,101,11,12,2,21,13,3,23,31,14,4,24,
%T A139079 34,41,15,5,25,35,45,51,16,6,26,36,46,56,61,17,7,27,37,47,57,67,71,18,
%U A139079 8,28,38,48,58,68,78,81,19,9,29,39,49,59,69,79,89,91,102,22,32,42,52,62,72
%N A139079 Smallest number not yet in the sequence that contains the last digit of the previous term, with a(1) = 1.
%C A139079 This is a permutation of the positive integers.
%H A139079 Michael De Vlieger, <a href="/A139079/b139079.txt">Table of n, a(n) for n = 1..10000</a>
%p A139079 a := [1] ; for n from 2 to 100 do ldig := op(-1,a) mod 10 ; for c from 1 do if c in a then ; else dgs := convert(c,base,10) ; if ldig in dgs then a := [op(a),c] ; break; fi; fi; od: od: print(a) ; # _R. J. Mathar_
%t A139079 s={1};Do[k=1;Until[ContainsAny[IntegerDigits[k],Take[IntegerDigits[s[[-1]]],-1]]&&!MemberQ[s,k],k++];AppendTo[s,k],{m,71}];s (* _James C. McMahon_, Jun 28 2025 *)
%Y A139079 Cf. A076654, A125886.
%K A139079 base,nonn
%O A139079 1,2
%A A139079 _Franklin T. Adams-Watters_, Jan 31 2009