|
| |
|
|
A052386
|
|
Number of integers from 1 to 10^n-1 that lack 0 as a digit.
|
|
9
| |
|
|
0, 9, 90, 819, 7380, 66429, 597870, 5380839, 48427560, 435848049, 3922632450, 35303692059, 317733228540, 2859599056869, 25736391511830, 231627523606479, 2084647712458320, 18761829412124889, 168856464709124010
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..500
|
|
|
FORMULA
| a(n) = 9*a(n-1) + 9.
a(n) = 9*(9^n-1)/8 = sum_{j=1..n} 9^j = a(n-1)+9^n = 9*A002452(n) = A002452(n+1)-1; write A000918(n+1) in base 2 and read as if written in base 9. - Henry Bottomley (se16(AT)btinternet.com), Aug 30 2001
|
|
|
EXAMPLE
| For n=2, the numbers from 1 to 99 which *have* 0 as a digit are the 9 numbers 10, 20, 30, ..., 90. So a(1) = 99 - 9 = 90.
|
|
|
MATHEMATICA
| Table[9(9^n - 1)/8, {n, 0, 20}]
|
|
|
PROG
| (MAGMA) [9*(9^n-1)/8: n in [0..20]]; // Vincenzo Librandi, Jul 04 2011
|
|
|
CROSSREFS
| Cf. A024101, A052379.
Sequence in context: A165135 A180289 A054616 * A186510 A158609 A057092
Adjacent sequences: A052383 A052384 A052385 * A052387 A052388 A052389
|
|
|
KEYWORD
| easy,nonn,base
|
|
|
AUTHOR
| Odimar Fabeny (fabeny(AT)braznet.com.br), Mar 10 2000
|
|
|
EXTENSIONS
| More terms and revised description from James A. Sellers (sellersj(AT)math.psu.edu), Mar 13 2000 and from Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 14 2003
|
| |
|
|
