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A083398 Number of diagonals needed to produce a list {1,..n} in the Wythoff array. 0

%I #5 Mar 31 2012 13:21:56

%S 1,2,3,3,4,4,4,5,5,5,5,5,6,6,6,6,7,7,8,8,8,9,9

%N Number of diagonals needed to produce a list {1,..n} in the Wythoff array.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/WythoffArray.html">Wythoff Array</a>

%H Clark Kimberling, <a href="http://faculty.evansville.edu/ck6/integer/intersp.html">Interspersions</a>

%e The Wythoff array begins:

%e 1 2 3 5 8

%e 4 7 11 18 29

%e 6 10 16 26 42

%e The first diagonal is {1}, the 2nd {2,4}, the 3rd {3,7,6} and so on. To produce a(6), all the integers from 1 to 6, we need 4 diagonals, so a(6)=4.

%Y Cf. A003622.

%K nonn

%O 1,2

%A _Jon Perry_, Jun 06 2003

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