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 A186220 Adjusted joint rank sequence of (g(i)) and (f(j)) with f(i) before g(j) when f(i)=g(j), where f and g are the triangular numbers and squares. Complement of A186219. 4
 2, 4, 6, 9, 11, 14, 16, 18, 21, 23, 26, 28, 30, 33, 35, 38, 40, 42, 45, 47, 50, 52, 55, 57, 59, 62, 64, 67, 69, 71, 74, 76, 79, 81, 84, 86, 88, 91, 93, 96, 98, 100, 103, 105, 108, 110, 112, 115, 117, 120, 122, 125, 127, 129, 132, 134, 137, 139, 141, 144, 146, 149, 151, 154, 156, 158, 161, 163, 166, 168, 170, 173, 175, 178, 180, 182, 185, 187, 190, 192, 195, 197, 199, 202, 204, 207, 209, 211, 214, 216, 219, 221, 224, 226, 228, 231, 233, 236, 238, 240 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See A186219. LINKS G. C. Greubel, Table of n, a(n) for n = 1..10000 FORMULA See A186219. EXAMPLE First, write 1..3...6..10..15...21..28..36..45... (triangular) 1....4.. 9......16...25....36....49.. (square) Replace each number by its rank, where ties are settled by ranking the triangular number before the square: a=(1,3,5,7,8,10,12,13,...) = A186219; b=(2,4,6,9,11,14,16,18,...) = A186220. MATHEMATICA (See A186219.) Table[n + Floor[(-1 + Sqrt[8*n^2 + 3])/2], {n, 1, 100}] (* G. C. Greubel, Aug 26 2018 *) PROG (PARI) vector(100, n, n + floor((-1 + sqrt(8*n^2 + 3))/2)) \\ G. C. Greubel, Aug 26 2018 (Magma) [n + Floor((-1 + Sqrt(8*n^2 + 3))/2): n in [1..100]]; // G. C. Greubel, Aug 26 2018 CROSSREFS Cf. A186219, A186221, A186222. Sequence in context: A203988 A160813 A247515 * A285075 A186316 A265286 Adjacent sequences: A186217 A186218 A186219 * A186221 A186222 A186223 KEYWORD nonn AUTHOR Clark Kimberling, Feb 15 2011 STATUS approved

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Last modified June 16 19:52 EDT 2024. Contains 373432 sequences. (Running on oeis4.)