A039925 -id:A039925

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page 1

A039926

Random digits.

+10
3

1, 2, 6, 7, 7, 3, 2, 9, 4, 4, 5, 4, 1, 2, 7, 3, 9, 7, 4, 8, 7, 9, 9, 1, 2, 0, 2, 0, 1, 7, 3, 1, 8, 3, 2, 0, 8, 5, 6, 6, 0, 6, 2, 4, 8, 9, 5, 7, 1, 1, 2, 7, 4, 3, 0, 3, 1, 4, 2, 9, 8, 4, 5, 2, 8, 6, 1, 3, 5, 1, 7, 0, 6, 5, 8, 8, 6, 0, 8, 8, 2, 9, 1, 5, 8, 4, 7, 7, 1, 7, 8, 6, 6, 4, 8, 7, 0, 6, 5

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

This sequence is an example of a random number table. The digits were originally obtained using some physical random process (i. e., there is no algorithm defining them), published, and then reprinted in the Cox's book. - Andrey Zabolotskiy, Oct 18 2019

REFERENCES

D. R. Cox, Planning of Experiments, Wiley, NY, 1958, p. 299, Table A.3.

LINKS

Andrey Zabolotskiy, Table of n, a(n) for n = 0..1999 (complete sequence)

Wikipedia, Random number table

CROSSREFS

Cf. A002205, A039925.

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane

STATUS

approved

A259233

Random number table used by Doom.

+10
1

0, 8, 109, 220, 222, 241, 149, 107, 75, 248, 254, 140, 16, 66, 74, 21, 211, 47, 80, 242, 154, 27, 205, 128, 161, 89, 77, 36, 95, 110, 85, 48, 212, 140, 211, 249, 22, 79, 200, 50, 28, 188, 52, 140, 202, 120, 68, 145, 62, 70, 184, 190, 91, 197, 152, 224, 149

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

From Simon Howard, Oct 25 2024: (Start)

The same table of numbers is also used in earlier games by id Software, including Catacomb 3D (1991) and Wolfenstein 3D (1992), but was used as early as the Commander Keen series. Due to code reuse, the table subsequently found its way into games from other companies: Apogee Software's Rise of the Triad (1995) and Raven Software's Heretic (1994) and Hexen (1995) among others.

The sequence is bytes from a 32-bit linear congruential generator using a multiplier of 134775813 and an increment of 1; these parameters were used in the pseudorandom number generators shipped with various compilers produced by Borland International, Inc. in the late 1980s. This suggests that a program built using one of these compilers was used to generate the table. (End)

LINKS

J. Hufford, Table of n, a(n) for n = 0..255

GitHub, Source

The Doom Wiki, Pseudorandom number generator

Video Game Preservation, Table in the source code to "Commander Keen in Keen Dreams"

Video Game Preservation, Table in the source code to "Rise of the Triad"

Index entries for sequences related to pseudo-random numbers.

FORMULA

a(n) = floor((134775813^(n+1) - 1) / 8832667615232) mod 2^8 (by sum of a geometric series). - Simon Howard, Nov 04 2024

PROG

(Python)

state = 1