

A299988


Lexicographic first sequence of nonnegative integers such that a(n) + a(n+1) has a digit 8, and no term occurs twice.


20



0, 8, 10, 18, 20, 28, 30, 38, 40, 41, 7, 1, 17, 11, 27, 21, 37, 31, 47, 33, 5, 3, 15, 13, 25, 23, 35, 43, 39, 9, 19, 29, 49, 32, 6, 2, 16, 12, 26, 22, 36, 42, 44, 4, 14, 24, 34, 46, 52, 56, 62, 66, 72, 76, 82, 86, 92, 88, 50, 48, 60, 58, 70, 68, 80, 78, 90, 91, 57, 51, 67, 61, 77, 71, 87, 81, 97, 83, 45, 53, 55, 63, 65, 73, 75, 93, 85, 95, 89, 59, 69
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OFFSET

0,2


COMMENTS

A permutation of the nonnegative integers.


LINKS

Table of n, a(n) for n=0..90.


PROG

(PARI) a(n, f=1, d=8, a=0, u=[a])={for(n=1, n, f&&if(f==1, print1(a", "), write(f, n1, " "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}


CROSSREFS

Cf. A299978 (analog with positive terms), A299957 (analog with digit 1), A299970, A299982..A299987, A299969 (digit 0, 2..7, 9).
Sequence in context: A059094 A302166 A287270 * A143617 A015732 A179474
Adjacent sequences: A299985 A299986 A299987 * A299989 A299990 A299991


KEYWORD

nonn,base


AUTHOR

M. F. Hasler and Eric Angelini, Feb 22 2018


STATUS

approved



