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A060002 Digitized partition numbers: numbers with (weakly) increasing digits ordered by sum of their digits then by the numbers themselves. 1
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 (list; graph; refs; listen; history; text; internal format)
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: A081926 A242614 A069800 * A110741 A113625 A090323

Adjacent sequences:  A059999 A060000 A060001 * A060003 A060004 A060005

KEYWORD

base,nonn

AUTHOR

Henry Bottomley, Mar 14 2001

STATUS

approved

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Last modified December 20 15:01 EST 2014. Contains 252266 sequences.