|
Search: id:A162396
|
|
|
| A162396 |
|
a(n) = 2*a(n-2) for n > 2; a(1) = 5, a(2) = 2. |
|
+0
6
|
|
| 5, 2, 10, 4, 20, 8, 40, 16, 80, 32, 160, 64, 320, 128, 640, 256, 1280, 512, 2560, 1024, 5120, 2048, 10240, 4096, 20480, 8192, 40960, 16384, 81920, 32768, 163840, 65536, 327680, 131072, 655360, 262144, 1310720, 524288, 2621440, 1048576, 5242880
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Binomial transform is A162268. Fifth binomial transform is A083880 without initial 1.
|
|
FORMULA
|
a(n) = (3/2-(-1)^n)*2^(1/4*(2*n+3+(-1)^n)).
G.f.: x*(5+2*x)/(1-2*x^2).
|
|
PROGRAM
|
(MAGMA) [ n le 2 select 8-3*n else 2*Self(n-2): n in [1..41] ];
|
|
CROSSREFS
|
Cf. A162268, A083880, A162255.
Sequence in context: A127097 A040024 A036121 this_sequence A055682 A136397 A065292
Adjacent sequences: A162393 A162394 A162395 this_sequence A162397 A162398 A162399
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 02 2009
|
|
EXTENSIONS
|
G.f. corrected, formula simplified, comment added by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Sep 18 2009
|
|
|
Search completed in 0.002 seconds
|
