Superbowl score ratios

Jonathan Post jvospost3 at gmail.com
Sat Feb 3 20:04:42 CET 2007


I know from earlier emails that NJAS would deeply hate these
sequences, but the major media are bombarding us in the USA with the
data. It's sad that you can go into any bar in the USA and ask about
superbowls and world series and plenty of people will agree on their
memorized data, but if you ask for the defintiion of a prime, or what
are the 5 largest countries on Earth by area or population, there will
typically be nobody who knows.

a(n)/b(n) = Numerators/denominators of winner/loser points ratio of
Superbowl(n).

35/10, 33/14, 16/7, 23/7, 16/13, 24/3, 14/7, 24/7, 16/6, 21/17, 32/14,
27/10, 35/31, 31/19, 27/10, 26/21, 27/17, 38/9, 38/16, 46/10, 39/20,
42/10, 20/16, 55/10, 20/19, 37/24, 52/17, 30/13, 49/26, 27/17, 35/21,
31/24, 34/19, 23/16, 34/7, 20/17, 48/21, 32/29, 24/21, 21/10

cf. A095973  Yard markers on a U.S.A. football field, A114142
Possible sums of the final scores of completed Chicago Bears football
games, A114143 The possible sums of the final scores of completed
Chicago Bears football games where both teams score, A069745
Expansion of 1/((1-x^2)(1-x^3)(1-x^6)(1-x^7)(1-x^8)) 	[Number of ways
for a team to score n points in American football, where, except as
noted below, order of scoring does not matter],

a(41) to be determined tomorrow, 4 Feb 2007, Chicago Bears v
Indianapolis Colts, 6:15 p.m. PST.

Superbowl IV was the first to have prime numerator and prime denominator.





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