cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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.

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%I A046815 #9 Jan 05 2025 19:51:35
%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.
%H A046815 Marjorie Bicknell-Johnson, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Scanned/40-3/bicknell.pdf">The least integer having p Fibonacci representations (p prime)</a>, 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.
%K A046815 nonn
%O A046815 1,2
%A A046815 Marjorie Bicknell-Johnson (marjohnson(AT)earthlink.net)