|
Search: id:A116534
|
|
|
| A116534 |
|
Start with 1 and 2; if number is even join with last number and divide by 2, if it is odd add 1 and divide by 2. |
|
+0
2
|
|
| 1, 2, 6, 13, 7, 4, 37, 19, 10, 955, 478, 477739, 238870, 238869619435, 119434809718, 119434809717559717404859, 59717404858779858702430, 5971740485877985870242979858702429389929351215
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Rapidly growing: for n=10,20,30,40,50 the terms have 3, 138, 914, 3649, 248128 digits respectively (cf. A131059). - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 12 2007
|
|
FORMULA
|
1,2 = 12 / 2 = 6, is even so = 26 /2 = 13 is odd so sum 1 and / by 2 = 7, +1 /2 = 4, is even so I join with 7 = 74 /2 = 37 +1 /2 = 19, etc
a(n)=ceiling(a(n-1)/2)+(1+(-1)^a(n-1))*10^floor(log_10(a(n-1))+1)*a(n-2)/4, n>=2. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 12 2007
|
|
CROSSREFS
|
Cf. A131059.
Sequence in context: A126293 A007668 A089415 this_sequence A130533 A082722 A030416
Adjacent sequences: A116531 A116532 A116533 this_sequence A116535 A116536 A116537
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Rodolfo Marcelo Kurchan (rkurchan(AT)yahoo.com), Mar 26 2006
|
|
EXTENSIONS
|
More terms from Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jun 12 2007
|
|
|
Search completed in 0.002 seconds
|
