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.

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

Offset: 1

Author

Pieter Post, Jul 24 2015

Keywords

• nonn
• base
• fini
• full

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.

Examples

			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.

Extensions

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