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Search: id:A132575
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| A132575 |
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Let S be the concatenation of natural numbers in decimal representation: a(n) = position of first occurrence of n in S, then this occurrence in S is replaced by a(n). |
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8
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 1, 1, 1, 1, 1, 1, 1, 1, 22, 5, 21, 27, 29, 31, 33, 27, 37, 29, 41, 8, 33, 32, 48, 50, 52, 34, 56, 58, 60, 9, 63, 34, 67, 69, 71, 35, 47, 77, 49, 10, 5, 84, 86, 88, 54, 92, 56, 96, 58, 11, 102, 62, 107, 57, 97, 66, 87, 68, 98, 13, 25, 126, 47, 53
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OFFSET
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1,2
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COMMENT
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A132576(n) = smallest m such that a(m) = n;
A132577 and A132578 give record values and where they occur;
A132579 gives numbers m such that a(m) = m;
A132580 gives positions m such that a(m)=a(m-1).
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LINKS
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R. Zumkeller, Table of n, a(n) for n = 1..10000
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EXAMPLE
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S(0)=123456789101112131415161718192021222324252627282930313233343536..;
a(k)=k, S(k) = S(k-1) for k<=10;
a(11)=12,
S(11)=123456789101212131415161718192021222324252627282930..;
a(12)=1, S(12)=13456789101212131415161718192021222324252627282930..;
a(13)=1, S(13)=1456789101212131415161718192021222324252627282930..;
a(14)=1, S(14)=156789101212131415161718192021222324252627282930..;
a(15)=1, S(15)=16789101212131415161718192021222324252627282930..;
a(16)=1, S(16)=1789101212131415161718192021222324252627282930..;
a(17)=1, S(17)=189101212131415161718192021222324252627282930..;
a(18)=1, S(18)=19101212131415161718192021222324252627282930..;
a(19)=1, S(19)=1101212131415161718192021222324252627282930..;
a(20)=22: S(20)=1101212131415161718192221222324252627282930..;
a(21)=5: S(21)=110152131415161718192221222324252627282930..;
a(22)=21: S(22)=110152131415161718192121222324252627282930..;
a(23)=27: S(23)=110152131415161718192121222724252627282930..;
a(24)=29: S(24)=110152131415161718192121222729252627282930..;
a(25)=31: S(25)=110152131415161718192121222729312627282930..;
a(26)=33: S(26)=110152131415161718192121222729313327282930..;
a(27)=27: S(27)=S(26);
a(28)=37: S(28)=110152131415161718192121222729313327372930..;
a(29)=29: S(29)=S(28);
a(30)=41: S(30)=110152131415161718192121222729313327372941.. .
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CROSSREFS
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Cf. A007376, A132601, A132597.
Sequence in context: A004906 A004917 A077741 this_sequence A031297 A085516 A020753
Adjacent sequences: A132572 A132573 A132574 this_sequence A132576 A132577 A132578
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KEYWORD
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nonn,base
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 24 2007
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