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A063883
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Number of ways writing n as a sum of different Mersenne prime exponents (terms of A000043).
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3
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0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 3, 2, 4, 2, 4, 3, 3, 4, 2, 4, 2, 4, 3, 3, 4, 3, 4, 4, 4, 5, 4, 5, 4, 4, 5, 3, 5, 3, 4, 4, 3, 5, 3, 5, 4, 4, 5, 4, 5, 4, 4, 5, 3, 5, 4, 3, 6, 2, 6, 3, 5, 5, 3, 6, 3, 5, 4, 4, 4, 4, 4, 4, 4, 5, 3, 6, 3, 5, 5, 4, 6, 3, 7, 3, 6, 5, 5, 6, 5, 6, 5, 6, 6, 5, 6, 6
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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COMMENTS
| Comment from T. D. Noe, Oct 12 2006: This sequence appears to be growing. However, for 704338<n<756839, a(n) is 0. See A078426 for the n such that a(n)=0.
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..10000
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EXAMPLE
| n = 50 = 2 + 5 + 7 + 17 + 19 = 2 + 17 + 31 = 19 + 31, so a(50) = 3 The first numbers whose the number of these Mersenne-exponent partitions is k = 0, 1, 2, 3, 4, 5, 6, 7, 8 are 1, 2, 5, 20, 22, 39, 66, 92, 107 respectively.
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CROSSREFS
| Cf. A000043, A046528, A048947, A063889, A054784.
Sequence in context: A116664 A024161 A035156 * A079691 A104450 A035226
Adjacent sequences: A063880 A063881 A063882 * A063884 A063885 A063886
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KEYWORD
| nonn,nice
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Aug 28 2001
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