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A299976 Lexicographic first sequence of positive integers such that a(n) + a(n+1) has a digit 6, and no term occurs twice. 1
1, 5, 11, 15, 21, 25, 31, 29, 7, 9, 17, 19, 27, 33, 3, 13, 23, 37, 24, 2, 4, 12, 14, 22, 34, 26, 10, 6, 20, 16, 30, 32, 28, 8, 18, 38, 48, 58, 68, 78, 82, 44, 42, 54, 52, 64, 62, 74, 72, 84, 76, 40, 36, 50, 46, 60, 56, 70, 66, 80, 81, 35, 41, 45, 51, 55, 61, 65, 71, 75, 85, 77, 39, 47, 49, 57, 59, 67, 69, 87, 73, 43, 53, 63, 83, 79, 86, 90, 96, 100 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A permutation of the positive integers.

LINKS

Table of n, a(n) for n=1..90.

PROG

(PARI) a(n, f=1, d=6, 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. A299986 (analog with nonnegative terms), A299957 (analog with digit 1), A299971, A299972, ..., A299979 (digit 0, 2, ..., 9).

Sequence in context: A224213 A036787 A182664 * A187715 A314038 A314039

Adjacent sequences:  A299973 A299974 A299975 * A299977 A299978 A299979

KEYWORD

nonn,base

AUTHOR

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

STATUS

approved

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Last modified January 28 10:02 EST 2020. Contains 331319 sequences. (Running on oeis4.)