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A038034
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Number of ordered partitions of 1 into {1, 1/2, 1/3, ..., 1/n}.
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5
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1, 2, 3, 7, 8, 52, 53, 288, 1209, 5247, 5248, 71395, 71396, 375779, 6957533, 52310862, 52310863, 1152622553, 1152622554, 45575902465, 1296407854551, 1580527987951, 1580527987952, 73245316681199, 584407520822198, 639887219617512, 11355804443049274, 516959218512416104, 516959218512416105, 29213061562205847736, 29213061562205847737, 886912328033731357358, 31286298736622399674197, 31349361777225437765677
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| a(n) = number of Egyptian fractions 1 = 1/x_1 + ... + 1/x_k (for any k), with max{x_i}<=n.
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LINKS
| Index entries for sequences related to Egyptian fractions
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FORMULA
| a(n)=Sum(A092667(i), i=1..n)
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EXAMPLE
| a(4)=7 since there are seven fractions 1=1/1, 1=1/2+1/2, 1=1/3+1/3+1/3, 1=1/2+1/4+1/4, 1=1/4+1/2+1/4, 1=1/4+1/4+1/2 and 1=1/4+1/4+1/4+1/4.
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CROSSREFS
| Cf. A020473, A092667, A092670, A002967.
Sequence in context: A056433 A064669 A068342 * A103173 A098863 A053960
Adjacent sequences: A038031 A038032 A038033 * A038035 A038036 A038037
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KEYWORD
| nonn,nice
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net), Jun 15 1998.
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EXTENSIONS
| More terms from Max Alekseyev (maxale(AT)gmail.com), Mar 02 2004
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