cp's OEIS Frontend

A332144 Nonnegative numbers ordered by number of digits, and then by sum of digits, and then by value.

%I A332144 #17 Nov 22 2020 04:28:13
%S A332144 0,1,2,3,4,5,6,7,8,9,10,11,20,12,21,30,13,22,31,40,14,23,32,41,50,15,
%T A332144 24,33,42,51,60,16,25,34,43,52,61,70,17,26,35,44,53,62,71,80,18,27,36,
%U A332144 45,54,63,72,81,90,19,28,37,46,55,64,73,82,91,29,38,47,56
%N A332144 Nonnegative numbers ordered by number of digits, and then by sum of digits, and then by value.
%C A332144 This sequence is a permutation of the nonnegative integers with inverse A332166.
%C A332144 This sequence can also be seen as an irregular triangle with first row consisting of a zero, and subsequent row lengths given by A289410.
%H A332144 Rémy Sigrist, <a href="/A332144/b332144.txt">Table of n, a(n) for n = 0..9999</a>
%H A332144 Rémy Sigrist, <a href="/A332144/a332144.gp.txt">PARI program for A332144</a>
%H A332144 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A332144 a(10^k - 1) = 10^k - 1 for any k >= 0.
%F A332144 a(10^k) = 10^k for any k >= 0.
%F A332144 a(10^k + 1) = 10^k + 1 for any k >= 0.
%e A332144 Triangle starts:
%e A332144     0;
%e A332144     1;
%e A332144     2;
%e A332144     3;
%e A332144     4;
%e A332144     5;
%e A332144     6;
%e A332144     7;
%e A332144     8;
%e A332144     9;
%e A332144     10;
%e A332144     11, 20;
%e A332144     12, 21, 30;
%e A332144     13, 22, 31, 40;
%e A332144     14, 23, 32, 41, 50;
%e A332144     15, 24, 33, 42, 51, 60;
%e A332144     16, 25, 34, 43, 52, 61, 70;
%e A332144     17, 26, 35, 44, 53, 62, 71, 80;
%e A332144     18, 27, 36, 45, 54, 63, 72, 81, 90;
%e A332144     19, 28, 37, 46, 55, 64, 73, 82, 91;
%e A332144     29, 38, 47, 56, 65, 74, 83, 92;
%e A332144     39, 48, 57, 66, 75, 84, 93;
%e A332144     49, 58, 67, 76, 85, 94;
%e A332144     59, 68, 77, 86, 95;
%e A332144     69, 78, 87, 96;
%e A332144     79, 88, 97;
%e A332144     89, 98;
%e A332144     99;
%e A332144     ...
%o A332144 (PARI) See Links section.
%Y A332144 Cf. A187769 (binary analog), A289410, A332166 (inverse).
%K A332144 nonn,base,tabf
%O A332144 0,3
%A A332144 _Rémy Sigrist_, Nov 20 2020