|
Search: id:A079214
|
|
|
| A079214 |
|
Catalan paths: numbers starting with 1 and ending with 0 where each digit is nonnegative and adjacent digits differ by 1. |
|
+0
5
|
|
| 10, 1010, 1210, 101010, 101210, 121010, 121210, 123210, 10101010, 10101210, 10121010, 10121210, 10123210, 12101010, 12101210, 12121010, 12121210, 12123210, 12321010, 12321210, 12323210, 12343210, 1010101010, 1010101210
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
a(23713) cannot easily be written in decimal.
|
|
FORMULA
|
a(n) =A079215(n)-(10^ceiling[log_10(A079215(n))]-1)/9.
|
|
EXAMPLE
|
Can be constructed from A063171 by (starting from a notional leading 0) adding 1 to previous digit of a(n) if next digit of A063171 is 1 and subtracting 1 if next digit is 0: e.g. A063171(3)=1100, so digits of a(3) are 0+1=1, 1+1=2, 2-1=1 and 1-1=0 giving a(3)=1210.
|
|
CROSSREFS
|
Cf. A063171, A079215. a(n) has A000108(m) values with 2m digits.
Sequence in context: A071671 A075171 A106456 this_sequence A163662 A080070 A080120
Adjacent sequences: A079211 A079212 A079213 this_sequence A079215 A079216 A079217
|
|
KEYWORD
|
base,nonn
|
|
AUTHOR
|
Henry Bottomley (se16(AT)btinternet.com), Jan 02 2003
|
|
|
Search completed in 0.002 seconds
|
