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A249741 Sieve of Eratosthenes minus one: a(n) = A083221(n+1) - 1.

%I A249741 #26 Dec 23 2014 00:35:28
%S A249741 1,3,2,5,8,4,7,14,24,6,9,20,34,48,10,11,26,54,76,120,12,13,32,64,90,
%T A249741 142,168,16,15,38,84,118,186,220,288,18,17,44,94,132,208,246,322,360,
%U A249741 22,19,50,114,160,252,298,390,436,528,28,21,56,124,202,318,376,492,550,666,840,30,23,62,144,216,340,402,526,588,712,898,960,36,25
%N A249741 Sieve of Eratosthenes minus one: a(n) = A083221(n+1) - 1.
%H A249741 Antti Karttunen, <a href="/A249741/b249741.txt">Table of n, a(n) for n = 1..3321; the first 81 antidiagonals of the array, flattened</a>
%H A249741 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A249741 a(n) = A083221(n+1) - 1.
%F A249741 As a composition of related permutations:
%F A249741 a(n) = A114881(A038722(n)).
%F A249741 a(n) = A249811(A135764(n)).
%e A249741 The top left corner of the array:
%e A249741    1,   3,   5,    7,    9,   11,   13,   15,   17,   19,   21,   23,   25,
%e A249741    2,   8,  14,   20,   26,   32,   38,   44,   50,   56,   62,   68,   74,
%e A249741    4,  24,  34,   54,   64,   84,   94,  114,  124,  144,  154,  174,  184,
%e A249741    6,  48,  76,   90,  118,  132,  160,  202,  216,  258,  286,  300,  328,
%e A249741   10, 120, 142,  186,  208,  252,  318,  340,  406,  450,  472,  516,  582,
%e A249741   12, 168, 220,  246,  298,  376,  402,  480,  532,  558,  610,  688,  766,
%e A249741   16, 288, 322,  390,  492,  526,  628,  696,  730,  798,  900, 1002, 1036,
%e A249741   18, 360, 436,  550,  588,  702,  778,  816,  892, 1006, 1120, 1158, 1272,
%e A249741   22, 528, 666,  712,  850,  942,  988, 1080, 1218, 1356, 1402, 1540, 1632,
%e A249741   28, 840, 898, 1072, 1188, 1246, 1362, 1536, 1710, 1768, 1942, 2058, 2116,
%e A249741 ...
%o A249741 (Scheme)
%o A249741 (define (A249741 n) (- (A083221 (+ n 1)) 1))
%o A249741 ;; Alternative version:
%o A249741 (define (A249741 n) (- (A083221bi (A002260 n) (A004736 n)) 1))
%Y A249741 Inverse: A249742.
%Y A249741 Transpose: A114881.
%Y A249741 Row 1: A005408, Column 1: A006093, Main diagonal: A249743.
%Y A249741 Cf. also A002260, A004736, A038722, A083221.
%K A249741 nonn,tabl,look
%O A249741 1,2
%A A249741 _Antti Karttunen_, Nov 15 2014