cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A079596 Number of ways to get ten-pin bowling score of 300-n.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 26, 53, 90, 115, 150, 173, 206, 227, 258, 277, 406, 585, 810, 1045, 1323, 1603, 1933, 2264, 2635, 3016, 3534, 4374, 6005, 7975, 10696, 13613, 17422, 21406, 26131, 31193, 37965, 45826, 57960
Offset: 0

Views

Author

Henry Bottomley, Jan 27 2003

Keywords

Examples

			a(10) = 11 since 300-10 = 290 and there are 11 ways of scoring 290: either eleven strikes followed by a 0, or a spare (10 ways) followed by eleven strikes.
		

Crossrefs

Cf. A060853.

Formula

a(n) = A060853(300-n).

A127993 Minimum bowling score for a game with n strikes.

Original entry on oeis.org

0, 10, 20, 30, 40, 50, 60, 70, 90, 120, 180, 240, 300
Offset: 0

Views

Author

Rick L. Shepherd, Feb 10 2007

Keywords

Comments

Independently determined, these numbers agree with the ranges in the Number of strikes/Number of spares grid of the Balmoral Software page.

Examples

			a(8) = 90 as eight strikes in a bowling game (tenpins) guarantees a score of at least 90: Since three strikes may occur in the last frame, eight is the minimal number of strikes such that at least two are in consecutive frames (and so a(n) > 10n).
		

Crossrefs

A127994 Maximum bowling score for a game with exactly n strikes.

Original entry on oeis.org

190, 192, 202, 213, 224, 235, 246, 257, 268, 279, 289, 299, 300
Offset: 0

Views

Author

Rick L. Shepherd, Feb 11 2007

Keywords

Comments

Independently determined, these numbers agree with the ranges in the Number of strikes/Number of spares grid of the Balmoral Software page. Note that a(0)=190 > A127993(10)=180; i.e., it's possible to get a higher score with no strikes (and ten optimal (9 pins, then 1 pin) spares followed by 9 pins on the last delivery) than with ten strikes misfortunately timed.

Examples

			a(12) = 300 as twelve strikes in a bowling game (tenpins) results in a score of 30 for each of the ten frames, giving 300 total, the maximum possible score.
		

Crossrefs

Showing 1-3 of 3 results.