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 A186347 Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) before g(j) when f(i)=g(j), where f(i)=8i and g(j)=j^2.  Complement of A186346. 4
 1, 2, 4, 6, 8, 10, 13, 16, 19, 22, 26, 30, 34, 38, 43, 48, 53, 58, 64, 70, 76, 82, 89, 96, 103, 110, 118, 126, 134, 142, 151, 160, 169, 178, 188, 198, 208, 218, 229, 240, 251, 262, 274, 286, 298, 310, 323, 336, 349, 362, 376, 390, 404, 418, 433, 448, 463, 478, 494, 510, 526, 542, 559, 576, 593, 610, 628, 646, 664, 682, 701, 720, 739, 758, 778, 798, 818, 838, 859, 880, 901, 922, 944, 966, 988, 1010 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA a(n)=n+floor(sqrt(8n-1/2))=A186346(n). b(n)=n+floor((n^2+1/2)/8)=A186347(n). EXAMPLE First, write ....8....16..24..32..40..48..56..64..72..80.. (8i) 1..4..9..16...25...36......49....64.......81 (squares) Then replace each number by its rank, where ties are settled by ranking 8i before the square: a=(3,5,7,9,11,12,14,15,17,..)=A186346 b=(1,2,4,6,8,10,13,16,19,...)=A186347. MATHEMATICA (See A186346.) CROSSREFS Cf. A186346, A186348, A186349. Sequence in context: A025224 A294023 A096182 * A302648 A269746 A056827 Adjacent sequences:  A186344 A186345 A186346 * A186348 A186349 A186350 KEYWORD nonn AUTHOR Clark Kimberling, Feb 20 2011 STATUS approved

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Last modified October 23 17:32 EDT 2019. Contains 328373 sequences. (Running on oeis4.)