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A359391 a(n) is the smallest number which can be represented as the sum of n distinct positive Fibonacci numbers (1 is allowed twice as a part) in exactly n ways, or -1 if no such number exists. 0

%I #25 Jan 07 2023 11:05:50

%S 1,2,3,16,27,71,116,278,451,818,1305,2169,3925,8119,13117,23252,37858,

%T 62999,101939,178088,298357,484576,813710,1613509,2610739,4224275,

%U 6845969,11280196,19772533,32524576,53157802,85936132

%N a(n) is the smallest number which can be represented as the sum of n distinct positive Fibonacci numbers (1 is allowed twice as a part) in exactly n ways, or -1 if no such number exists.

%e For n = 3: 16 = Fibonacci(1) + Fibonacci(3) + Fibonacci(7) =

%e Fibonacci(2) + Fibonacci(3) + Fibonacci(7) =

%e Fibonacci(4) + Fibonacci(5) + Fibonacci(6) =

%e 1 + 2 + 13 =

%e 1'+ 2 + 13 =

%e 3 + 5 + 8.

%Y Cf. A000045, A000121, A013583, A083853.

%K nonn,more

%O 0,2

%A _Ilya Gutkovskiy_, Dec 29 2022

%E a(0), a(10)-a(18) from _Alois P. Heinz_, Dec 29 2022

%E a(19)-a(31) from _David A. Corneth_, Dec 30 2022

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Last modified July 6 02:01 EDT 2024. Contains 374030 sequences. (Running on oeis4.)