|
| |
|
|
A050685
|
|
Number of nonzero palindromes < 10^n and containing at least one digit '0'.
|
|
1
| |
|
|
0, 0, 9, 18, 189, 360, 2799, 5238, 36189, 67140, 435699, 804258, 5021289, 9238320, 56191599, 103144878, 615724389, 1128303900, 6641519499, 12154735098, 70773675489, 129392615880, 746963079399, 1364533542918, 7822667714589
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
FORMULA
| G.f.:(-9*x^2*(x+1))/((x-1)*(3*x-1)*(3*x+1)*(10*x^2-1)) [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 28 2009]
|
|
|
EXAMPLE
| Up to 10^4 we find 18 numbers -> 101, 202, ..., 909, 1001, 2002,... and 9009.
|
|
|
CROSSREFS
| Cf. A050250, A050684.
Sequence in context: A050250 A080453 A002169 * A133361 A005400 A071587
Adjacent sequences: A050682 A050683 A050684 * A050686 A050687 A050688
|
|
|
KEYWORD
| nonn,base
|
|
|
AUTHOR
| Patrick De Geest (pdg(AT)worldofnumbers.com), Aug 15 1999.
|
|
|
EXTENSIONS
| More terms from Michael Lugo (mlugo(AT)thelabelguy.com), Dec 22 1999
Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 08 2006
|
| |
|
|
