A186496 Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) after g(j) when f(i)=g(j), where f(i)=5i and g(j)=j-th pentagonal number. Complement of A186495.
1, 2, 5, 8, 11, 16, 20, 26, 32, 38, 46, 53, 62, 71, 80, 91, 101, 113, 125, 137, 151, 164, 179, 194, 209, 226, 242, 260, 278, 296, 316, 335, 356, 377, 398, 421, 443, 467, 491, 515, 541, 566, 593, 620, 647, 676, 704, 734, 764, 794, 826, 857, 890, 923, 956, 991, 1025, 1061, 1097, 1133, 1171, 1208, 1247, 1286, 1325, 1366, 1406, 1448, 1490, 1532, 1576, 1619, 1664, 1709, 1754, 1801, 1847, 1895, 1943, 1991, 2041
Offset: 1
Keywords
Examples
First, write ...5..10..15..20..25..30..35..40... (5i), 1..5......12......22............35..(pentagonal numbers). Then replace each number by its rank, where ties are settled by ranking 5i after the pentagonal number: a=(3,4,6,7,9,10,12,13,14,15,17,...)=A186495, b=(1,2,5,8,11,16,20,26,32,38,46,..)=A186496.
Programs
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Mathematica
(See A186495.)