A299988 - OEIS

A299988

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

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, 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. A299978 (analog with positive terms), A299957 (analog with digit 1), A299970, A299982..A299987, A299969 (digit 0, 2..7, 9).

Sequence in context: A302166 A374622 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