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A075927 Basis for code in A075926. 2
7, 25, 42, 75, 385, 642, 1155, 2184, 4233, 8330, 16523, 98305, 163842, 294915, 557064, 1081353, 2129930, 4227083, 8421504, 16810113, 33587330, 67141763, 134250632, 268468361, 536903818, 1073774731, 6442450945, 10737418242 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

J. H. Conway and N. J. A. Sloane, Lexicographic codes: error-correcting codes from game theory, IEEE Transactions on Information Theory, 32:337-348, 1986.

R. W. Hamming, Error Detecting and Error Correcting Codes, Bell System Tech. J., Vol. 29, April, 1950, pp. 147-160.

LINKS

Table of n, a(n) for n=0..27.

Ari Trachtenberg, Error-Correcting Codes on Graphs: Lexicodes, Trellises and Factor Graphs

FORMULA

a(n) = b(2^n), where b is the Hamming code d=3.

b(n) = XOR(a(i)) where i is a bit set in n.

CROSSREFS

Cf. A075928, A075929, A075930, A075926, A057716, A075933.

Sequence in context: A141393 A226366 A294459 * A119617 A102027 A031294

Adjacent sequences:  A075924 A075925 A075926 * A075928 A075929 A075930

KEYWORD

nonn,easy

AUTHOR

Bob Jenkins (bob_jenkins(AT)burtleburtle.net)

STATUS

approved

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Last modified December 16 01:36 EST 2017. Contains 296063 sequences.