A266123 Decrement by 1 all digits > 1 in factorial base representation of n and then shift it one digit right.

0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 10, 10, 11, 11, 11, 11, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 10, 10, 11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15, 15, 15, 14, 14, 15, 15, 15, 15, 16, 16, 17, 17, 17, 17, 18

Offset: 0

Author

Antti Karttunen, Dec 23 2015

Keywords

• nonn
• base

Examples

			   n     A007623(n)  [subtract 1 from digits > 1     a(n)
       [in factorial  then shift one digit right]  [reinterpret
             base]                                  in decimal]
    0         0    ->      0                         =  0
    1         1    ->      0                         =  0
    2        10    ->      1                         =  1
    3        11    ->      1                         =  1
    4        20    ->      1                         =  1
    5        21    ->      1                         =  1
    6       100    ->     10                         =  2
    7       101    ->     10                         =  2
    8       110    ->     11                         =  3
    9       111    ->     11                         =  3
   10       120    ->     11                         =  3
   11       121    ->     11                         =  3
   12       200    ->     10                         =  2
   13       201    ->     10                         =  2
   14       210    ->     11                         =  3
   15       211    ->     11                         =  3
   16       220    ->     11                         =  3
   17       221    ->     11                         =  3
   18       300    ->     20                         =  4
		

Links

• Antti Karttunen, Table of n, a(n) for n = 0..10080
• Index entries for sequences related to factorial base representation

Crossrefs

Cf. A007623, A257684, A266193.