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A222136 Number of Fractional Repetition codes for n nodes. 1
1, 3, 4, 10, 8, 16, 19, 28, 17, 50, 23, 48, 59, 68, 34, 96, 40, 115, 101, 96, 52, 181, 98, 120, 134, 191, 73, 268, 81, 209, 190, 173, 214, 361, 104, 201, 234, 390, 118, 428, 126, 350, 411, 261, 140, 560, 247, 425, 337, 439, 165, 566, 397, 615, 391, 350, 189, 920 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,2

COMMENTS

Table II of Anil. In a distributed storage systems (DSS), regenerating codes are used to optimize bandwidth in the repair process of a failed node. To optimize other DSS parameters such as computation and disk I/O, Distributed Replication-based Simple Storage (Dress) Codes consisting of an inner Fractional Repetition (FR) code and an outer MDS code are commonly used.

LINKS

Michel Marcus, Table of n, a(n) for n = 3..180

Srijan Anil, Manish K. Gupta, T. Aaron Gulliver, Enumerating Some Fractional Repetition Codes, arXiv:1303.6801v1 [cs.IT], Mar 27, 2013.

T. Aaron Gulliver, No. of nodes n/No. of FR codes possible (gives more data for b-file).

T. Aaron Gulliver, No. of nodes n/No. of FR codes possible (gives more data for b-file). [Cached copy, with permission; pdf format only]

CROSSREFS

Sequence in context: A139556 A191150 A023896 * A279787 A128488 A226303

Adjacent sequences:  A222133 A222134 A222135 * A222137 A222138 A222139

KEYWORD

nonn

AUTHOR

Jonathan Vos Post, Mar 27 2013

EXTENSIONS

Terms a(11) and beyond from b-file by Andrew Howroyd, Feb 05 2018

STATUS

approved

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Last modified December 14 11:52 EST 2018. Contains 318097 sequences. (Running on oeis4.)