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Search: id:A112012
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| A112012 |
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Numbers n such that there exists at least one number j and pi(m) = d_1 d_2 ... d_j*d_(j+1) d_(j+2) ... d_k where d_1 d_2 ...d_k is the decimal expansion of n. |
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+0
2
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| 16, 17, 73, 132, 224, 322, 342, 352, 362, 619, 1017, 1117, 1196, 1516, 2163, 2215, 3514, 3714, 5137, 11373, 12012, 12121, 13120, 17116, 21113, 25911, 51045, 64541, 64581, 64591, 64601, 64611, 64651, 64661, 64691, 64701, 64711, 64721, 100967
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A112013 is the prime subsequence of this sequence.
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EXAMPLE
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pi(16)=1*6 so j=1; pi(342)=34*2 so j=2; pi(12012)=120*12 so j=3;
pi(64541)=6454*1 so j=4, etc.
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MATHEMATICA
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Select[Range[10, 200000], MemberQ[h=IntegerDigits[ # ]; k=Length[h]; Table[FromDigits[Table[h[[i]], {i, j}]]*FromDigits[Table[h[[i]], {i, j+1, k}]], {j, k}], PrimePi[ # ]] &]
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CROSSREFS
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Cf. A112013.
Sequence in context: A097220 A041530 A041528 this_sequence A003999 A041532 A041534
Adjacent sequences: A112009 A112010 A112011 this_sequence A112013 A112014 A112015
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KEYWORD
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base,nonn
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AUTHOR
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Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Sep 04 2005
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