

A260387


Numbers n = d_0d_1...d_n (n < 10) such that d_i is the number of digits equal to i in n (base b), where b is less than 10.


0



12, 13, 320, 3201, 72200, 89000, 132110, 345000, 643000, 2320200, 3121300, 10103111, 11300130, 42430000, 51340000, 64030000, 72300000, 86300000, 125102000, 130213000, 211220001, 220101111, 323111000, 431130000, 614110000, 667000000, 2153100000, 2521002000, 3021211100
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OFFSET

1,1


COMMENTS

The only terms having the same number of digits as the base are 13, 10103111, 211220001 and 220101111. For example, 13 is 1101_2, which has 1 zero and 3 ones.
The least term with 10 digits that describes itself is 2153100000.
2153100000 is 104233022322_7, so it has 2 zeros, 1 one, 5 twos, 3 threes, 1 four, 0 fives, 0 sixes, 0 sevens, 0 eights and 0 nines in base 7.


LINKS

Table of n, a(n) for n=1..29.


EXAMPLE

12 = 110_3, which has 1 zero and 2 ones.
13 = 1101_2, which has 1 zero and 3 ones.
320 = 11000_4, which has 3 zeros, 2 ones and 0 twos.
3201 = 100301_5, which has 3 zeros, 2 ones, 0 twos and 1 three.
72200 = 10200001002_3
89000 = 10101101110101000_2
132110 = 13211420_5
345000 = 122112020210_3
643000 1012200000211_3
42430000 = 2201312320300_4
51340000 = 3003312023200_4
64030000 = 3310100110300_4
72300000 = 122002100000_5
86300000 = 20000101111100022_3
431130000 = 110440340120_6
614110000 = 2224203010000_5
667000000 = 1201111002002222201_3
2153100000 = 104233022322_7


CROSSREFS

Cf. A001155, A001387, A005150, A046043, A138480.
Sequence in context: A033048 A108771 A041308 * A041309 A041310 A275959
Adjacent sequences: A260384 A260385 A260386 * A260388 A260389 A260390


KEYWORD

nonn,base,fini,full


AUTHOR

Pieter Post, Jul 24 2015


EXTENSIONS

a(10)a(13), a(19)a(23), a(28)a(29) added by Giovanni Resta, Jul 26 2015


STATUS

approved



