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A110955 Number of minimal signed binary representations for an integer n. +0
1
1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 2, 3, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 4, 3, 5, 2, 2, 2, 2, 2, 5, 3, 4, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 4, 3, 3, 3, 5, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2 (list; graph; listen)
OFFSET

0,4

REFERENCES

A. D. Booth, A signed binary multiplication technique, Querterly Journal on Mechanics and Applied Mathematics, Vol. 4 (1951) 236-240.

G. Manku and J. Sawada, A loopless Gray code for minimal signed-binary representations, 13th Annual European Symposium on Algorithms (ESA), LNCS 3669, (2005) 438-447.

J. Sawada, A Gray code for binary subtraction, 2nd Brazilian Conference on Graphs, Algorithms, and Combinatorics (GRACO), Electronic Notes in Discrete Mathematics, 19 (2005) 125-131.

CROSSREFS

Cf. A007302.

Sequence in context: A120891 A034002 A025430 this_sequence A056731 A042974 A020906

Adjacent sequences: A110952 A110953 A110954 this_sequence A110956 A110957 A110958

KEYWORD

nonn

AUTHOR

Joe Sawada (sawada(AT)cis.uoguelph.ca), Sep 26 2005

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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