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A090847
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Let A denote the sequence; then A is equal to the union of the self-convolutions A^2 and A^4, with terms in ascending order by size, where a(0)=1.
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1
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1, 1, 2, 4, 5, 12, 14, 22, 44, 50, 88, 117, 160, 308, 309, 508, 740, 912, 1518, 1700, 2470, 3822, 4280, 6606, 8164, 10764, 17158, 17204, 26276, 35020, 42238, 63260, 69664, 97028, 136920, 149924, 219665, 262376, 335600, 493344, 496312, 724942, 925277
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| The occurrences of the terms of A^4 in A is given by A090848. Given A(m)=A^4(n), then what is the limit m/n as n grows? Example: at n=2000, m/n=3202/2000=2.616, at n=3000, m/n=7849/3000=2.6163...
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EXAMPLE
| A={1,1,2,4,5,12,14,22,44,50,88,117,...} since A is the sorted union of:
A^2={1,2,5,12,22,50,88,160,309,508,912,1518,2470,4280,6606,10764,...} and
A^4={1,4,14,44,117,308,740,1700,3822,8164,17158,35020,69664,136920,...}.
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CROSSREFS
| Cf. A090845, A090848.
Sequence in context: A066145 A095022 A101961 * A056984 A117556 A091071
Adjacent sequences: A090844 A090845 A090846 * A090848 A090849 A090850
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Dec 09 2003
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