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Search: id:A036213
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| A036213 |
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Duplicating binary multipliers, i.e. n+1 1-bits placed 2n bits from each other. |
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+0
3
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| 1, 5, 273, 266305, 4311810305, 1127000493261825, 4723519685917965029377, 316931994050834867150735294465, 340287559297026369749534115703797383169
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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A 2n-bit binary number can be reversed by multiplying it first by 2 and the
n-th element of this sequence, masking it (bit and) with n-th element of A036214
and taking remainder of the division by ((2^((2*n)+2)) -1).
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REFERENCES
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R. Schroeppel: DECsystem-10/20 Processor Reference Manual AA-H391A-TK, Chapter 2, User Operations, section 2.15: Programming Examples: Reversing Order of Digits.
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LINKS
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Beeler, M., Gosper, R. W., and Schroeppel, R., A Bit-Reversing Example in HAKMEM (Item 167)
A. Karttunen, A Simple C-program Demonstrating Bit-Reversals
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FORMULA
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a(0) = 1, a(n) = ((2^((2*(n^2))+2*(n)))-1)/((2^(2*n))-1).
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CROSSREFS
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Sequence in context: A113257 A140001 A066210 this_sequence A112901 A057209 A140016
Adjacent sequences: A036210 A036211 A036212 this_sequence A036214 A036215 A036216
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KEYWORD
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nonn
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AUTHOR
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Antti Karttunen
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