A261164 List run lengths of digits different from '4', when all terms are concatenated. Lexicographically first such sequence of nonnegative numbers with no repeated terms.

1, 4, 0, 2, 3, 5, 44, 6, 7, 40, 8, 9, 41, 10, 11, 42, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 14, 36, 37, 38, 43, 39, 50, 51, 45, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 24, 73, 75, 76, 77, 46, 78, 79, 80, 81, 47, 82

Offset

1,2

Comments

See A261161 - A261163 for comments and examples.

Links

Table of n, a(n) for n=1..77.

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

Prog

(PARI) A261164(n=99, d=4, 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 - A261169 for the variants that use digit '0', ..., '9' as delimiter.

Sequence in context: A226955 A123314 A058997 * A323982 A279415 A201399

Adjacent sequences: A261161 A261162 A261163 * A261165 A261166 A261167

Keyword

nonn,base

Author

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

Status

approved