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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. 4

%I #13 Aug 05 2019 17:46:33

%S 1,2,5,8,11,16,20,26,32,38,46,53,62,71,80,91,101,113,125,137,151,164,

%T 179,194,209,226,242,260,278,296,316,335,356,377,398,421,443,467,491,

%U 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

%N 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.

%e First, write

%e ...5..10..15..20..25..30..35..40... (5i),

%e 1..5......12......22............35..(pentagonal numbers).

%e Then replace each number by its rank, where ties are settled by ranking 5i after the pentagonal number:

%e a=(3,4,6,7,9,10,12,13,14,15,17,...)=A186495,

%e b=(1,2,5,8,11,16,20,26,32,38,46,..)=A186496.

%t (See A186495.)

%Y Cf. A186350, A186493, A186494, A186495.

%K nonn

%O 1,2

%A _Clark Kimberling_, Feb 22 2011

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