A339752 Base-ten n containing a digit making its n-th appearance in the list of consecutive positive integers.

1, 199981, 199982, 199983, 199984, 199985, 199986, 199987, 199988, 199989, 199990, 199991, 200001, 1599981, 1599982, 1599983, 1599984, 1599985, 1599986, 1599987, 1599988, 1599989, 1599990, 1599991, 2600001, 13199998, 13199999, 28263827, 28263828, 35000001

Offset

1,2

Comments

Similar to A216400 but an improvement in definition that does not exclude consideration of digit zero and additionally allows for a wordless description of the sequence (see "Counting digits" in links).

Conjectured to be "full": digit 0 (the final term) might have subsequents.

Links

Hans Havermann, Table of n, a(n) for n = 1..662

Hans Havermann, Positive-integers digit-count coincidences

Hans Havermann, Proportionality

Example

28263827 contains a 2 (the third one) making its 28263827th occurrence, so 28263827 is in the sequence.
100559404366 contains a 0 (the second one) making its 100559404366th occurrence, so 100559404366 is in the sequence.

Crossrefs

Cf. A000027 (consecutive positive integers), A216400 (Mathematica's Google aptitude variant), A164935 (starts with ten terms of this sequence), A245491 (contains the final term of this sequence), A339753 (English number-words variant).

Sequence in context: A154531 A043592 A126558 * A216400 A014778 A094799

Adjacent sequences: A339749 A339750 A339751 * A339753 A339754 A339755

Keyword

nonn,base,fini

Author

Hans Havermann, Dec 15 2020

Status

approved