A132597 - OEIS

A132597

Let S be the concatenation of natural numbers in ternary representation: a(n) = position of first occurrence of n in S, then this occurrence in S is replaced by a(n) in ternary.

1, 2, 3, 5, 1, 8, 5, 6, 14, 2, 18, 21, 24, 12, 3, 1, 6, 14, 6, 40, 16, 29, 15, 5, 3, 30, 62, 27, 70, 1, 5, 3, 25, 37, 86, 19, 36, 98, 71, 30, 111, 5, 11, 121, 126, 114, 136, 1, 28, 2, 1, 60, 30, 156, 120, 166, 7, 123, 106, 58, 5, 6, 38, 23, 57, 36, 83, 147, 4, 38, 27, 226, 31, 177

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OFFSET

1,2

COMMENTS

A132598(n) = smallest m such that a(m) = n.

A132599 and A132600 give record values and where they occur.

From Michel Marcus, Nov 12 2023: (Start)

Numbers m such that a(m) = m: 1, 2, 3, 4515, ...

Positions m such that a(m)=a(m-1): 386, 829, ... (End)

LINKS

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

EXAMPLE

S(0) = 12101112202122100101102110111112..;

for n<=3: a(n)=n, S(n) = S(n-1);

n=4->'11', a(4)=5->'12', S(4)=12101212202122100101102110111112..;

n=5->'12', a(5)=1->'1', S(5)=1101212202122100101102110111112..;

n=6->'20', a(6)=8->'22', S(6)=1101212222122100101102110111112..;

n=7->'21', a(7)=5->'12', S(7)=1101122222122100101102110111112..;

n=8->'22', a(8)=6->'20', S(8)=1101120222122100101102110111112..;

n=9->'100', a(9)=14->'112', S(9)=1101120222122112101102110111112..;

n=10->'101', a(10)=2->'2', S(10)=12120222122112101102110111112..;

n=11->'102', a(11)=18->'200', S(11)=12120222122112101200110111112..;

n=12->'110', a(12)=21->'210', S(12)=12120222122112101200210111112..;

n=13->'111', a(13)=24->'220', S(13)=12120222122112101200210220112..;

n=14->'112', a(14)=12->'110', S(14)=12120222122110101200210220112..;

n=15->'120', a(15)=3->'10', S(15)=1210222122110101200210220112..;

n=16->'121', a(16)=1->'1', S(16)=10222122110101200210220112..;

n=17->'122', a(17)=6->'20', S(17)=1022220110101200210220112..;

n=18->'200', a(18)=14->'112', S(18)=1022220110101112210220112..;

n=19->'201', a(19)=6->'20', S(19)=102222010101112210220112.. .

CROSSREFS

Cf. A007089, A003137, A132601, A132575.

Sequence in context: A191387 A191793 A191791 * A030335 A256611 A276350

Adjacent sequences: A132594 A132595 A132596 * A132598 A132599 A132600

KEYWORD

nonn,base,look

AUTHOR

Reinhard Zumkeller, Aug 24 2007

STATUS

approved