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A144908 Composite numbers n such that sqrt(n) > A144907(n) and absolute normalized digital mean |dm(b, n) * 2 / (b - 1)| decreases for b in [2, k] for some k > 2. 0
32, 64, 125, 128, 192, 250, 256, 288, 343, 375, 384, 500, 512, 576, 640, 648, 768, 800, 896, 1024, 1029, 1125, 1152, 1280, 1296, 1536, 1568, 1600, 1715, 1792, 1875, 2025, 2048, 2058, 2304, 2401, 2500, 2560, 2592, 2816, 3072, 3136, 3200, 3328, 3375, 3456 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subset of A144100.

Believed to have particular importance for linear congruential pseudorandom number generators.

LINKS

Table of n, a(n) for n=1..46.

EXAMPLE

125 is a member: A144907(125) is 5, which is less than 11.18, the square root of 125;

125 in base 2 is 1111101; dm(2, 125) = (6 * 1 - 1) / 14 = 5/14 ~ 0.357;

125 in base 3 is 11122; dm(3, 125) = (3 * 0 + 2 * 2) / 10 = 2/5 = 0.4;

125 in base 4 is 1331; dm(4, 125) = (2 * -1 + 2 * 3) / 8 = 1/2 = 0.5;

5/14 * 2 / 1 = 5/7 ~ 0.714;

2/5 * 2 / 2 = 2/5 = 0.4;

1/2 * 2 / 3 = 1/3 ~ 0.333;

For b in [2, 4], |dm(b, 125) * 2 / (b - 1)| is decreasing.

CROSSREFS

Cf. A144100, A144907, A144777

Sequence in context: A122616 A174312 A255995 * A172419 A069492 A076469

Adjacent sequences:  A144905 A144906 A144907 * A144909 A144910 A144911

KEYWORD

base,easy,nonn

AUTHOR

Reikku Kulon, Sep 24 2008

STATUS

approved

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Last modified April 18 10:56 EDT 2021. Contains 343087 sequences. (Running on oeis4.)