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A255545 Lucky / Unlucky array: Each row starts with n-th lucky number, followed by all unlucky numbers removed at stage n of the sieve.

%I A255545 #16 Feb 28 2015 14:48:23
%S A255545 1,2,3,4,5,7,6,11,19,9,8,17,39,27,13,10,23,61,57,45,15,12,29,81,91,97,
%T A255545 55,21,14,35,103,121,147,117,85,25,16,41,123,153,199,181,177,109,31,
%U A255545 18,47,145,183,253,243,277,225,139,33,20,53,165,217,301,315,369,345,295,157,37,22,59,187,247,351,379,471,465,447,325,175,43
%N A255545 Lucky / Unlucky array: Each row starts with n-th lucky number, followed by all unlucky numbers removed at stage n of the sieve.
%C A255545 The array A(row,col) is read by antidiagonals A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ...
%H A255545 Antti Karttunen, <a href="/A255545/b255545.txt">Table of n, a(n) for n = 1..5995; the first 109 antidiagonals of the array, flattened</a>
%H A255545 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A255545 For col = 1, A(row,col) = A000959(row); otherwise, A(row,col) = A255543(row,col-1).
%e A255545 The top left corner of the array:
%e A255545    1,   2,   4,   6,   8,  10,  12,   14,   16,   18,   20,   22,   24,   26,   28
%e A255545    3,   5,  11,  17,  23,  29,  35,   41,   47,   53,   59,   65,   71,   77,   83
%e A255545    7,  19,  39,  61,  81, 103, 123,  145,  165,  187,  207,  229,  249,  271,  291
%e A255545    9,  27,  57,  91, 121, 153, 183,  217,  247,  279,  309,  343,  373,  405,  435
%e A255545   13,  45,  97, 147, 199, 253, 301,  351,  403,  453,  507,  555,  609,  661,  709
%e A255545   15,  55, 117, 181, 243, 315, 379,  441,  505,  571,  633,  697,  759,  825,  889
%e A255545   21,  85, 177, 277, 369, 471, 567,  663,  757,  853,  949, 1045, 1141, 1239, 1333
%e A255545   25, 109, 225, 345, 465, 589, 705,  829,  945, 1063, 1185, 1305, 1423, 1549, 1669
%e A255545   31, 139, 295, 447, 603, 765, 913, 1075, 1227, 1377, 1537, 1689, 1843, 1999, 2155
%e A255545   33, 157, 325, 493, 667, 835, 999, 1177, 1347, 1513, 1687, 1861, 2029, 2205, 2367
%e A255545 ...
%o A255545 (Scheme)
%o A255545 (define (A255545 n) (A255545bi (A002260 n) (A004736 n)))
%o A255545 (define (A255545bi row col) (if (= 1 col) (A000959 row) (A255543bi row (- col 1))))
%o A255545 ;; Other code as in A255543.
%Y A255545 Inverse: A255546.
%Y A255545 Transpose: A255547.
%Y A255545 Column 1: A000959. Other columns of array as in A255543, e.g. column 2: A219178.
%Y A255545 Row 1: A004275 (starting from 1).
%Y A255545 See A255551 for a slightly different variant.
%K A255545 nonn,tabl
%O A255545 1,2
%A A255545 _Antti Karttunen_, Feb 25 2015