A186494 Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) before g(j) when f(i)=g(j), where f(i)=5i and g(j)=j-th pentagonal number. Complement of A186493.
1, 3, 5, 8, 12, 16, 21, 26, 32, 39, 46, 54, 62, 71, 81, 91, 102, 113, 125, 138, 151, 165, 179, 194, 210, 226, 243, 260, 278, 297, 316, 336, 356, 377, 399, 421, 444, 467, 491, 516, 541, 567, 593, 620, 648, 676, 705, 734, 764, 795, 826, 858, 890, 923, 957, 991, 1026, 1061, 1097, 1134, 1171, 1209, 1247, 1286, 1326, 1366, 1407, 1448, 1490, 1533, 1576, 1620, 1664, 1709, 1755, 1801, 1848, 1895, 1943, 1992, 2041, 2091, 2141
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 before the pentagonal number: a=(2,4,6,7,9,10,11,13,14,15,17,...)=A186493, b=(1,3,5,8,12,16,21,26,32,39,46,..)=A186494.
Programs
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Mathematica
(See A186493.)