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