login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A135489 Number of tie-less basketball games from the years 1896-1967 with n scoring events. 0
1, 4, 12, 42, 148, 540, 1990, 7434, 27972, 106008, 403764, 1544796, 5931486, 22846252, 88228998, 341518606, 1324627044, 5146959168, 20030812360, 78066774400, 304643526276, 1190209498344, 4654949367204, 18223301727108 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

A game is a sequence of valid scores (positive values for the home team, negative values for the visiting team). The valid scores for basketball played during the years 1896-1967 are {1, 2, -1, -2}. A tie-less game is one in which the teams are never in a tie (except at the beginning, when no team has scored yet).

LINKS

Table of n, a(n) for n=0..23.

MAPLE

TieLessGamesGeneral := proc(S, n, k) local s; option remember; if n = 0 then if k = 0 then return 1; else return 0; fi; fi; if k = 0 then return 0; fi; return add(TieLessGamesGeneral(S, n-1, k-s), s in S); end: TieLessGames := proc(S, n) local k, Smin, Smax; Smin := min(op(S)); Smax := max(op(S)); return add(TieLessGamesGeneral(S, n, k), k = Smin*n..Smax*n); end: TieLessOldBasketballGames := proc(n) return TieLessGames({1, 2, -1, -2}, n); end:

CROSSREFS

Cf. A137684.

Sequence in context: A017942 A149344 A178078 * A100217 A149345 A149346

Adjacent sequences:  A135486 A135487 A135488 * A135490 A135491 A135492

KEYWORD

nonn

AUTHOR

Sequence discovered by the students of D. Zeilberger's course (avitalo(AT)math.rutgers.edu), Feb 07 2008

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 13 15:41 EST 2019. Contains 329106 sequences. (Running on oeis4.)