A132575 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).

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

Offset

1,2

Comments

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).

Links

R. Zumkeller, Table of n, a(n) for n = 1..10000

Example

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.. .

Crossrefs

Cf. A007376, A132601, A132597.

Sequence in context: A004906 A004917 A077741 * A239235 A031297 A239086

Adjacent sequences: A132572 A132573 A132574 * A132576 A132577 A132578

Keyword

nonn,base,look

Author

Reinhard Zumkeller, Aug 24 2007

Status

approved