A261169 List run lengths of digits different from '9', when all terms are concatenated. Lexicographically first such sequence of nonnegative numbers with no repeated terms.

1, 9, 0, 2, 3, 4, 5, 6, 7, 8, 19, 90, 29, 10, 39, 11, 12, 91, 13, 14, 92, 15, 16, 49, 17, 18, 20, 59, 21, 22, 23, 24, 93, 25, 26, 27, 28, 30, 31, 32, 33, 34, 94, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 60, 61, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 73, 74, 75, 76

Offset

1,2

Comments

See A261161-A261163 for comments and examples.

Links

Table of n, a(n) for n=1..81.

E. Angelini, To reach the next "1", SeqFan list, August 10, 2015.

Prog

(PARI) A261169(n=99, d=9, a=1, p=0, u=[-1], r=u)={for(n=2, n, print1(a", "); p+=#digits(a)+!a; r=concat(r, r[#r]+a+1); while(#r>1&&r[1]<p, r=r[2..-1]); u=setunion(u, [a]); while(#u>1&&u[2]==u[1]+1, u=u[2..-1]); for(k=u[1]+1, 9e9, setsearch(u, k)&&next; if(r[1] >= p+#dk=if(k, digits(k), [0]), setsearch(Set(dk), d)&&next, for(i=1, #dk, (dk[i]==d)==!setsearch(r, p+i-1)&&next(2))); a=k; next(2)); error); a}

Crossrefs

Cf. A261160 - A261168.

Sequence in context: A188593 A065421 A198556 * A093767 A199175 A261313

Adjacent sequences: A261166 A261167 A261168 * A261170 A261171 A261172

Keyword

nonn,base,changed

Author

Eric Angelini and M. F. Hasler, Aug 10 2015

Status

approved