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Search: id:A069765
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| A069765 |
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Number of distinct values obtained using n ones and the operations of sum, product and quotient. |
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+0
2
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| 1, 2, 4, 7, 13, 24, 42, 77, 138, 249, 454, 823, 1493, 2719, 4969, 9060, 16588, 30375, 55672
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Index entries for similar sequences
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EXAMPLE
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a(5)=13 because five ones yield the following 13 distinct values and no others: 1+1+1+1+1=5, 1+1+1+(1/1)=4, 1/(1+1+1+1)=1/4, 1+(1/1)+(1/1)=3, 1/(1+1+(1/1))=1/3, 1+(1/(1+1+1))=4/3, 1+(1/1)*(1/1)=2, 1/((1/1)+(1/1))=1/2, (1+1+1)/(1+1)=3/2, 1+1+(1/(1+1))=5/2, (1+1)/(1+1+1)=2/3, 1*1*1*1*1=1 and (1+1)*(1+1+1)=6.
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CROSSREFS
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Cf. A048249.
Sequence in context: A005595 A096236 A002574 this_sequence A090427 A006745 A049284
Adjacent sequences: A069762 A069763 A069764 this_sequence A069766 A069767 A069768
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KEYWORD
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nonn
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AUTHOR
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John W. Layman (layman(AT)math.vt.edu), Apr 05 2002
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