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A161374
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"Punctual" binary numbers. Complement of A161373
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2
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0, 1, 2, 4, 8, 10, 16, 22, 32, 36, 64, 128, 136, 256, 512, 528, 1024, 2048, 2080, 4096, 8192, 8256, 16384, 32768, 32896, 65536, 131072, 131328, 262144, 524288, 524800, 1048576, 2097152, 2098176, 4194304, 8388608, 8390656, 16777216, 33554432
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| A161373 U A161374 = A000027
Whether or not 22 is punctual or early bird is a matter interpretation of "early occurance" in the definition of A161373: 10110 occurs as the right 3 bits of 21 (10101) and the left 2 bits of 22 (10110) itself, which is ahead of the natural position, but not *completely* ahead of it. One can show (see weblink) the 22 is the only such case of doubt. [From Hagen von Eitzen (math(AT)von-eitzen.de), Jun 29 2009]
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LINKS
| H. v. Eitzen, Binary Early Birds (2009). [From Hagen von Eitzen (math(AT)von-eitzen.de), Jun 29 2009]
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FORMULA
| Contribution from Hagen von Eitzen (math(AT)von-eitzen.de), Jun 29 2009: (Start)
G.f.: (1+x+2x^2)/(2-8x^3) + x/(2-4x^3) -1/2 -x + x^4 + 4x^5 + 2x^6 + 6x^7 + 6x^8
If q>=3 then a(3q) = 2^(2q-1), a(3q+1) = 2^(2q-1) + 2^(q-1), a(3q+2) = 2^(2q). (End)
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CROSSREFS
| Cf. A116700, A161373
Sequence in context: A068382 A025612 A102248 * A045795 A083655 A097210
Adjacent sequences: A161371 A161372 A161373 * A161375 A161376 A161377
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KEYWORD
| easy,nonn
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AUTHOR
| Paolo P. Lava & Giorgio Balzarotti (paoloplava(AT)gmail.com), Jun 08 2009
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EXTENSIONS
| Offset corrected as customary for lists, 20 removed by Hagen von Eitzen (math(AT)von-eitzen.de), Jun 27 2009
More terms from Hagen von Eitzen (math(AT)von-eitzen.de), Jun 29 2009
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