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Search: id:A162852
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| A162852 |
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a(n) = 3*a(n-2) for n > 2; a(1) = 3, a(2) = -1. |
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+0
3
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| 3, -1, 9, -3, 27, -9, 81, -27, 243, -81, 729, -243, 2187, -729, 6561, -2187, 19683, -6561, 59049, -19683, 177147, -59049, 531441, -177147, 1594323, -531441, 4782969, -1594323, 14348907, -4782969, 43046721, -14348907, 129140163
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Third binomial transform is A162560.
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FORMULA
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a(n) = ((4-5*(-1)^n)*3^(1/4*(2*n-1+(-1)^n)))/3
G.f.: x*(3-x)/(1-3*x^2).
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PROGRAM
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(MAGMA) [ n le 2 select 7-4*n else 3*Self(n-2): n in [1..34] ];
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CROSSREFS
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Cf. A162560, A162436, A162766, A162813.
Sequence in context: A019736 A140303 A126186 this_sequence A054448 A106516 A140071
Adjacent sequences: A162849 A162850 A162851 this_sequence A162853 A162854 A162855
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KEYWORD
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sign
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 14 2009
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EXTENSIONS
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G.f. corrected by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Sep 18 2009
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