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Search: id:A112032
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| A112032 |
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Denominator of 3/4+1/4-3/8-1/8+3/16+1/16-3/32-1/32+3/64 ... |
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+0
6
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| 4, 1, 8, 2, 16, 4, 32, 8, 64, 16, 128, 32, 256, 64, 512, 128, 1024, 256, 2048, 512, 4096, 102, 4, 8192, 2048, 16384, 4096, 32768, 8192, 65536, 16384, 131072, 32768, 262144, 65536, 524288, 131072, 1048576, 262144, 2097152, 524288, 4194304, 1048576
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OFFSET
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0,1
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COMMENT
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Denominator of partial sums of A112030(n)/A016116(n+4), numerators = A112031;
A112031(n)/a(n) - 2/3 = (-1)^floor(n/2) / A112033(n);
A112031(n)/a(n) ---> 2/3.
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REFERENCES
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G. Polya and G. Szego, Problems and Theorems in Analysis I (Springer 1924, reprinted 1972), Part One, Chap. 4, Sect. 1, Problem 148
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FORMULA
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a(n) = 2^(floor(n/2) + 1 + (-1)^n) = 2^A084964(n).
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CROSSREFS
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Adjacent sequences: A112029 A112030 A112031 this_sequence A112033 A112034 A112035
Sequence in context: A106475 A134829 A130297 this_sequence A105534 A021243 A096051
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KEYWORD
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nonn,frac
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 27 2005
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