A060002 Digitized partition numbers: numbers with (weakly) increasing digits ordered by sum of their digits then by the numbers themselves.

0, 1, 2, 11, 3, 12, 111, 4, 13, 22, 112, 1111, 5, 14, 23, 113, 122, 1112, 11111, 6, 15, 24, 33, 114, 123, 222, 1113, 1122, 11112, 111111, 7, 16, 25, 34, 115, 124, 133, 223, 1114, 1123, 1222, 11113, 11122, 111112, 1111111, 8, 17, 26, 35, 44, 116, 125, 134, 224

Offset

0,3

Comments

a(97) cannot be written in decimal since it requires ten to be written as a single digit.

Links

Table of n, a(n) for n=0..53.

Crossrefs

Number of values of a(n) with a digit sum of k is A000041, number of values of a(n) with a digit sum of k and m digits is A008284, a(A000070(n))=n+1 written as a single digit, a(A026905(n))=A000042(n).

Sequence in context: A242614 A069800 A275536 * A110741 A113625 A279237

Adjacent sequences: A059999 A060000 A060001 * A060003 A060004 A060005

Keyword

base,nonn

Author

Henry Bottomley, Mar 14 2001

Status

approved