Question

These numbers can be calculated using Vajda’s and Catalan’s identities. The uniqueness of some divisors of these numbers is implied by Carmichael’s theorem, which (-5[1])also applies to similarly (-5[1])defined Lucas numbers. (10[1]-5[1])Consecutive pairs (10[1])of these numbers (10[1])give the worst run time for Euclid's algorithm. These numbers can be calculated with Binet’s formula, which uses a constant equal to the average of one and the square root of five denoted phi. (10[2])The population growth of rabbits was modeled using these numbers by their Italian namesake. For 10 points, (10[1])name this sequence of numbers defined by (10[1])adding the previous two numbers, (10[1])which starts 1, (10[1])1, 2, 3, 5. ■END■

ANSWER: Fibonacci numbers [accept Fibonacci sequence; prompt on Lucas numbers or Lucas sequences until “Lucas” is read]
<Other Science>
= Average correct buzz position

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Summary

2024 ACF Fall at CornellfallY9100%0%33%68.11
2024 ACF Fall at Ohio StatefallY8100%0%25%80.63
2024 ACF Fall at WashingtonfallY6100%0%0%55.67
2024 ACF Fall at GeorgiafallY11100%0%18%81.27
2024 ACF Fall at North CarolinafallY9100%0%11%69.11
2024 ACF Fall at Claremont CollegesfallY5100%0%0%34.60
2024 ACF Fall at RutgersfallY8100%0%25%62.38

Buzzes

PlayerTeamOpponentBuzz PositionValue
Claire WangRIT CBinghamton A23-5
Aksel MalatakSyracuseU of Rochester A27-5
Alec RisoCornell DCornell A3010
Jonathan ZhangCornell FPenn State30-5
Danny CutbillRIT ACornell B3210
Joshua RafaeilCornell CBinghamton C3510
Shalin ZerbeBinghamton BCornell E6910
Quinn VaughenRIT BU of Rochester B6910
Gregory StoneESFCornell G8610
Aidan KeenanU of Rochester ASyracuse9310
Steven VicoriaBinghamton ARIT C9810
Victor BenderPenn StateCornell F10110