

A290019


Sort the positive integers according to 3 keys, which are, in order of priority, number of digits, omega (A001221), and the number itself.


2



1, 2, 3, 4, 5, 7, 8, 9, 6, 11, 13, 16, 17, 19, 23, 25, 27, 29, 31, 32, 37, 41, 43, 47, 49, 53, 59, 61, 64, 67, 71, 73, 79, 81, 83, 89, 97, 10, 12, 14, 15, 18, 20, 21, 22, 24, 26, 28, 33, 34, 35, 36, 38, 39, 40, 44, 45, 46, 48, 50, 51, 52, 54, 55, 56, 57, 58, 62, 63
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OFFSET

1,2


LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..9999
Index entries for sequences that are permutations of the natural numbers


MATHEMATICA

Table[SortBy[Range[10^(n  1), 10^n  1], PrimeNu], {n, 2}] // Flatten (* Michael De Vlieger, Jul 20 2017 *)


PROG

(PARI) upto(t10nm1) = {my(v, res = []); for(i=1, t10nm1, res = concat(res, vecsort(vector(9*10^(i1), j, k=j+10^(i1)1; [omega(k), k])))); vector(#res, i, res[i][2])}


CROSSREFS

Cf. A001221, A055642, A290020.
Sequence in context: A302175 A228683 A133017 * A161924 A034153 A004725
Adjacent sequences: A290016 A290017 A290018 * A290020 A290021 A290022


KEYWORD

nonn,base


AUTHOR

David A. Corneth, Jul 19 2017


EXTENSIONS

Definition clarified by Giovanni Resta, Jul 27 2017


STATUS

approved



