A002205 -id:A002205 - cp's OEIS frontend

A039925 Random digits.

12, 67, 73, 29, 44, 54, 12, 73, 97, 48, 79, 91, 20, 20, 17, 31, 83, 20, 85, 66, 6, 24, 89, 57, 11, 27, 43, 3, 14, 29, 84, 52, 86, 13, 51, 70, 65, 88, 60, 88, 29, 15, 84, 77, 17, 86, 64, 87, 6, 55, 36, 44, 92, 58, 64, 91, 94, 48, 64, 65, 49, 56, 97, 93, 91, 59

Offset: 0

N. J. A. Sloane

A sequence of mechanically selected random numbers given by Cox. These numbers in turn were taken (with permission) from a larger table by Kendall and Smith. In Cox, all numbers were given as pairs of digits. Here leading zeros have been lost, so, for example, where we have a(21)=6 the original list has 06. - Sean A. Irvine, Feb 28 2021

D. R. Cox, Planning of Experiments, Wiley, NY, 1958, p. 299, Table A.3.
M. G. Kendall and B. Babington Smith, Tables of random sampling numbers, Tracts for computers, 24, 1939.

Sean A. Irvine, Table of n, a(n) for n = 0..999

Cf. A002205, A039926.

a(n) = A039926(2*n) * 10 + A039926(2*n+1). - Sean A. Irvine, Feb 28 2021

Offset changed to 0 for consistency with A039926 by Sean A. Irvine, Feb 28 2021

A039926 Random digits obtained from a random physical process.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

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

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

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

Cf. A002205, A039925.

A104183 Table of random digits from Abramowitz and Stegun.

Original entry on oeis.org

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

Offset: 1

Robert G. Wilson v, Aug 10 2008

An extract from the RAND Corporation table (cf. A002205).

Robert G. Wilson v, Table of n, for n = 1..12500. (complete sequence)
A. M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972, Table 26.11, pages 991-995 [alternative scanned copy].

A subsequence of A002205.

Edited by N. J. A. Sloane, Jul 16 2009

A259233 Random number table used by Doom.

Original entry on oeis.org

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

Offset: 0

J. Hufford, Jun 29 2015

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)

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.

Cf. A002205, A039925, A039926, A104183.

state = 1
for _ in range(256):
    print(state >> 16, end=', ')
    state = (134775813 * state + 1) % (1 << 24)
# Simon Howard, Nov 01 2024

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

cp's OEIS Frontend

A039925 Random digits.

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A039926 Random digits obtained from a random physical process.

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A104183 Table of random digits from Abramowitz and Stegun.

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A259233 Random number table used by Doom.

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