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A299973 Lexicographic first sequence of positive integers such that a(n) + a(n+1) has a digit 3, and no term occurs twice. 2

%I #6 Feb 23 2018 09:46:55

%S 1,2,11,12,18,5,8,15,16,7,6,17,13,10,3,20,14,9,4,19,24,29,34,39,44,49,

%T 54,59,64,66,27,26,37,36,47,46,57,56,67,63,30,23,40,33,50,43,60,53,70,

%U 61,22

%N Lexicographic first sequence of positive integers such that a(n) + a(n+1) has a digit 3, and no term occurs twice.

%C A permutation of the positive integers.

%o (PARI) a(n,f=1,d=3,a=1,u=[a])={for(n=2,n,f&&if(f==1,print1(a","),write(f,n-1," "a));for(k=u[1]+1,oo,setsearch(u,k)&&next;setsearch(Set(digits(a+k)),d)&&(a=k)&&break);u=setunion(u,[a]);u[2]==u[1]+1&&u=u[^1]);a}

%Y Cf. A299983 (analog with nonnegative terms), A299957 (analog with digit 1), A299970..A299979 (digit 0..9).

%K nonn,base

%O 1,2

%A _M. F. Hasler_ and _Eric Angelini_, Feb 22 2018

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Last modified April 18 18:58 EDT 2024. Contains 371781 sequences. (Running on oeis4.)