|
Search: id:A052041
|
|
|
| A052041 |
|
Squares lacking the digit zero in their decimal expansion. |
|
+0
18
|
|
| 1, 4, 9, 16, 25, 36, 49, 64, 81, 121, 144, 169, 196, 225, 256, 289, 324, 361, 441, 484, 529, 576, 625, 676, 729, 784, 841, 961, 1156, 1225, 1296, 1369, 1444, 1521, 1681, 1764, 1849, 1936, 2116, 2916, 3136, 3249, 3364, 3481, 3721, 3844, 3969, 4225, 4356
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
This sequence is infinite: see A102794 or A102807 for a constructive proof.
d(n) is odd. [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Oct 20 2009]
|
|
FORMULA
|
G.f.: (1+x)/(1-x)^3 [From Mohammad K. Azarian (azarian(AT)evansville.edu), Dec 22 2008]
d(a(n))=odd. [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Oct 20 2009]
|
|
CROSSREFS
|
Cf. A104264, A102265, A102266.
Squares : A052040, A052042, A052043. Cubes : A051750, A051751, A051832, A051833.
Cf. A000005. [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Oct 20 2009]
Sequence in context: A068854 A068867 A111704 this_sequence A018884 A050749 A096599
Adjacent sequences: A052038 A052039 A052040 this_sequence A052042 A052043 A052044
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
Patrick De Geest (pdg(AT)worldofnumbers.com), Dec 15 1999.
|
|
|
Search completed in 0.002 seconds
|
