Search: id:A046815
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%I A046815
%S A046815 1,3,8,21,24,144,58,63,147,155,152,173,168,385,398,461,406,401,435,
%T A046815 1215,440,1016,1011,1063,1053,1045,1066,2608,1050,1139,1160,2650,2642,
%U A046815 1155,2663,2807,2647,6841,2969,2749,2736,7145,2757,2791
%N A046815 Smallest number which can be written as the sum of distinct Fibonacci 
               numbers in n ways and such that the Zeckendorf representation of 
               the number uses only even-subscripted Fibonacci numbers.
%C A046815 Each term is >= corresponding term of A013583, smallest number that can 
               be written as sum of distinct Fibonacci numbers in n ways. Equality 
               holds for n prime, n a Fibonacci number, n a Lucas number as well 
               as some other cases.
%D A046815 Marjorie Bicknell-Johnson, The least integer having p Fibonacci representations 
               (p prime), Fibonacci Quarterly 40 (2002), pp. 260-265.
%e A046815 a(9)=147 because 147=F(12)+F(4) and 147 is the smallest such integer 
               having 9 representations: 147=144+3 or 144+2+1 or 89+55+3 or 89+55+2+1 
               or 89+34+21+3 or 89+34+21+2+1 or 89+34+13+8+3 or 89+34+13+8+2+1 or 
               89+34+13+5+3+2+1
%Y A046815 Cf. A002487, A013583.
%Y A046815 Sequence in context: A066212 A075719 A101643 this_sequence A160404 A103736 
               A101332
%Y A046815 Adjacent sequences: A046812 A046813 A046814 this_sequence A046816 A046817 
               A046818
%K A046815 nonn
%O A046815 1,2
%A A046815 Marjorie Bicknell-Johnson (marjohnson(AT)earthlink.net)

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