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Search: id:A162255
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| A162255 |
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a(n) = 2*a(n-2) for n > 2; a(1) = 3, a(2) = 2. |
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+0
9
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| 3, 2, 6, 4, 12, 8, 24, 16, 48, 32, 96, 64, 192, 128, 384, 256, 768, 512, 1536, 1024, 3072, 2048, 6144, 4096, 12288, 8192, 24576, 16384, 49152, 32768, 98304, 6553, 196608, 131072, 393216, 262144, 786432, 524288, 1572864, 1048576, 3145728, 2097152
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Apparently a(n) = A074323(n+1). a(n) = A072946(n-1) for n > 1.
Partial sums are in A164053.
Binomial transform is A135532 without initial term -1. Second binomial transform is A161938.
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FORMULA
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a(n) = (2^(1/4))^(3+2*n+(-1)^n) * (2-(-1)^n)/2.
G.f.: x*(3+2*x)/(1-2*x^2).
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PROGRAM
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(PARI) {m=42; u=concat([3, 2], vector(m-2)); for(n=3, m, u[n]=2*u[n-2]); u}
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CROSSREFS
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Cf. A074323, A072946, A164053, A135532, A161938.
Sequence in context: A113320 A092401 A116626 this_sequence A074323 A164073 A090571
Adjacent sequences: A162252 A162253 A162254 this_sequence A162256 A162257 A162258
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KEYWORD
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nonn
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 29 2009
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EXTENSIONS
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G.f. corrected, comments and cross-references added by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 08 2009
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