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, (-5[1])which (-5[1])also (10[1])applies to similarly (-5[2])defined Lucas numbers. (10[5]-5[1])Consecutive (10[2])pairs (10[4])of these numbers (10[4])give the worst (10[1]-5[1])run time for Euclid's algorithm. (10[1]-5[1])These numbers can be calculated with Binet’s formula, (10[2])which (-5[1])uses (10[1])a constant equal to the (10[1])average of one and the square root of five denoted (-5[1])phi. (10[4])The population (10[2])growth of rabbits (10[1])was (10[1])modeled (10[1])using these numbers (10[2])by their (10[1])Italian (10[1])namesake. (10[1])For (10[1])10 points, (10[2])name this sequence (10[1])of numbers defined (10[2])by (10[1])adding the (10[1])previous (10[1])two (10[2])numbers, (10[4])which (10[1])starts 1, (10[1]-5[1])1, 2, 3, 5. (10[1])■END■ (10[1])

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

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
Rohit Chintala (DII)Maryland B (DII)Fordham A22-5
Claire WangRIT CBinghamton A23-5
Beckett Gilmore (DII)Jefferson County Scholars (DII)Michigan State A 2410
Aksel MalatakSyracuseU of Rochester A27-5
Anthony Yin (DII)CWRU B (DII) CWRU C (UG)27-5
Alec RisoCornell DCornell A3010
Jonathan ZhangCornell FPenn State30-5
Tai BelkeUBC AUW Wrath3010
Malachi LedfordTusculumLiberty C3010
Annika Larson (DII)Claremont AUCLA B3010
Andrew Nucci (DII)UCLA EUCLA A3010
Skand ParvatikarArizona State BAlberta3110
Justin ReevesVCUAppalachian State B3110
Danny CutbillRIT ACornell B3210
Daniel ChenEmory OxfordEmory A3210
Vincent Zhang (DII)Penn A (DII)Lehigh A (UG)3210
Lucas Shedlock (UG)Princeton A (UG)Penn B (DII)3210
Joshua RafaeilCornell CBinghamton C3510
Ishan Pachauri (DII)UCLA DUCSD3510
Aidan Deshong (DII)Claremont BUSC3510
Neilesh Shroti (UG)Columbia BRutgers B3510
Stefan Stealey-EuchnerArizona State AUW Sloth3810
Jack Stuhlman (DII)Lehigh B (DII)Columbia J (DII)38-5
Mohamed Musa (DII)Ohio State C (DII) Michigan B (UG)43-5
Adam Tang (UG)Claremont CUCLA C4310
Matthew WangUBC BUW Pride5110
Jeffery XuGeorgia Tech DTennessee A5110
Aaron TaylorMississippi State AGeorgia Tech E52-5
John NolanNC StateVirginia Tech B5310
Andy Yu (DII)Maryland A (DII)NYU B5810
Nick SmemoeUNC BDuke A68-5
Shalin ZerbeBinghamton BCornell E6910
Quinn VaughenRIT BU of Rochester B6910
Pranav JohtiGeorgia Tech AFurman6910
Meredie CohenWilliam & MaryVirginia6910
Monish JampalaGeorgia Tech BAuburn C7110
Olin Bose (DII)Columbia A (UG)Bard A (UG)7110
Zaid Asif (DII)NYU A (UG)Rowan A (DII)7410
Nathan McWilliamsAlabama AVanderbilt A7510
Dennis Yang (DII)Michigan A (UG) Michigan D (UG)7610
Max KhurzmanUNC ADuke B7910
Aidan JonesLiberty AVirginia Tech A7910
John McqueenSouth Carolina BSouthern8110
Peter Ballas (DII)Michigan C CWRU A (UG) 8210
Michael EngUNC DJames Madison B8310
Angelo Pan (UG)CWRU C (UG)CWRU B (DII) 8410
Gregory StoneESFCornell G8610
Peter Zeng (DII)Ohio State B (DII) Michigan State B 8610
Dylan BianchiUW GreedUW Lust8910
Jacob Moeller (DII)Miami A (UG) West Virginia B (UG) 9210
Cameron WiliamsAppalachian State AUNC C9210
Aidan KeenanU of Rochester ASyracuse9310
Beck FalettiUW GluttonyBoise State9510
Venkat Das (DII)West Virginia A (UG) Miami C (DII) 9610
John ShieldsClemson BTennessee B9710
Zeke CollinsAuburn BVanderbilt B9710
Steven VicoriaBinghamton ARIT C9810
Allen XuGeorgia Tech EMississippi State A9810
Aaryan TomarGeorgia Tech CBelmont9810
Theodore Farrell (UG)Fordham AMaryland B (DII)9810
Jason Qin (DII)Columbia J (DII)Lehigh B (DII)9910
Victor BenderPenn StateCornell F10110
Jackson HopperMissisippi StateGeorgia Tech B101-5
Stephen Barstys (UG)Michigan B (UG)Ohio State C (DII) 10510
Andrea OwusuDuke AUNC B10610
Anna HinkleGeorgia Tech BMissisippi State12510