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A299978
Lexicographic first sequence of positive integers such that a(n) + a(n+1) has a digit 8, and no term occurs twice.
2
1, 7, 11, 17, 21, 27, 31, 37, 41, 39, 9, 19, 29, 49, 32, 6, 2, 16, 12, 26, 22, 36, 42, 38, 10, 8, 20, 18, 30, 28, 40, 43, 5, 3, 15, 13, 25, 23, 35, 33, 45, 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, 47, 51, 57, 61, 67, 71, 77, 81, 87, 93, 55, 53, 65, 63, 75, 73, 85, 83, 95, 89, 59, 69, 79, 99
OFFSET
1,2
COMMENTS
A permutation of the positive integers.
PROG
(PARI) a(n, f=1, d=8, 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}
CROSSREFS
Cf. A299988 (analog with nonnegative terms), A299957 (analog with digit 1), A299971, A299972, ..., A299979 (digit 0, 2, ..., 9).
Sequence in context: A260893 A352630 A360396 * A131229 A092737 A072669
KEYWORD
nonn,base
AUTHOR
M. F. Hasler and Eric Angelini, Feb 22 2018
STATUS
approved