Search: id:A134561
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%I A134561
%S A134561 1,2,4,3,6,12,5,7,17,33,8,9,19,46,88,13,10,20,51,122,232,21,11,25,53,
%T A134561 135,321,609,34,14,27,54,140,355,842,1596,55,15,28,67,142,368,931,2206,
%U A134561 4180,89,16,30,72,143,373,965
%N A134561 Array T by antidiagonals: T(n,k) = k-th number whose Zeckendorf representation 
               has exactly n terms.
%C A134561 A permutation of the natural numbers. Except for initial terms in some 
               cases, (Row 1) = A000045 (Row 2) = A095096 (Row 3) = A059390 (Row 
               4) = A111458 (Col 1) = A027941 (Col 2) = A005592
%D A134561 C. Kimberling, "The Zeckendorf array equals the Wythoff array," Fibonacci 
               Quarterly 33 (1995) 3-8.
%e A134561 19 = 13 + 5 + 1 is the 3rd largest number (after 12 and 17) that has
%e A134561 a 3-term Zeckendorf representation; i.e., the (unique) sum of distinct 
               non-neighboring Fibonacci numbers.
%e A134561 Northwest corner:
%e A134561 1 2 3 5 8 13
%e A134561 4 6 7 9 10 11
%e A134561 12 17 19 20 25 27
%e A134561 33 46 51 53 54 67
%Y A134561 Cf. A035513.
%Y A134561 Sequence in context: A131393 A002326 A064273 this_sequence A120947 A046793 
               A101278
%Y A134561 Adjacent sequences: A134558 A134559 A134560 this_sequence A134562 A134563 
               A134564
%K A134561 nonn,tabl
%O A134561 1,2
%A A134561 Clark Kimberling (ck6(AT)evansville.edu), Nov 01 2007

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