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A029745 Numbers of the form 2^n or 5*2^n. +0
2
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; listen)
OFFSET

1,2

COMMENT

The only natural numbers which cannot be the lengths of an interior diagonal of a cuboid with natural edges. - Michael Somos Mar 02 2004

REFERENCES

W. Sierpinski, Pythagorean triangles, Dover Publications, Inc., Mineola, NY, 2003, p. 101 MR2002669

FORMULA

G.f.: (1+2x+6x^2+x^3)/(1-2x^2).

PROGRAM

(PARI) a(n)=if(n<2, 1+max(-1, n), 2^(n\2)*if(n%2, 5/2, 4))

CROSSREFS

Cf. A094958.

Adjacent sequences: A029742 A029743 A029744 this_sequence A029746 A029747 A029748

Sequence in context: A115319 A122387 A021039 this_sequence A096417 A011059 A019771

KEYWORD

nonn

AUTHOR

njas

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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