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A029745
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Expansion of (1+2x+6x^2+x^3)/(1-2x^2).
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1
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1, 2, 8, 5, 16, 10, 32, 20, 64, 40, 128, 80, 256, 160, 512, 320, 1024, 640, 2048, 1280, 4096, 2560, 8192, 5120, 16384, 10240, 32768, 20480, 65536, 40960, 131072, 81920, 262144, 163840, 524288, 327680, 1048576, 655360, 2097152, 1310720, 4194304
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Note that 4 is the only power of 2 not here. All terms are either 2^k or 5*2^k.
Note that 4 is the only power of 2 not here. All terms are either 2^k or 5*2^k.
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FORMULA
| G.f.: (1+2x+6x^2+x^3)/(1-2x^2).
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PROG
| (PARI) a(n)=if(n<2, 1+max(-1, n), 2^(n\2)*if(n%2, 5/2, 4))
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CROSSREFS
| Cf. A094958 (numbers of the form 2^n or 5*2^n)
Sequence in context: A171044 A185583 A155901 * A183232 A096417 A011059
Adjacent sequences: A029742 A029743 A029744 * A029746 A029747 A029748
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Edited by T. D. Noe (noe(AT)sspectra.com), Nov 12 2010
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