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Search: id:A165470
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| A165470 |
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a(0)=1, a(1)=5, a(n)=20*a(n-2)-a(n-1). |
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+0 2
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| 1, 5, 15, 85, 215, 1485, 2815, 26885, 29415, 508285, 80015, 10085685, -8485385, 210199085, -379906785, 4583888485, -12182024185, 103859793885, -347500277585, 2424696155285, -9374701706985, 57868624812685
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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a(n)/a(n-1) tends to -5.
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FORMULA
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G.f.: (1+6x)/(1+x-20x^2). a(n)= Sum_{k, 0<=k<=n} A112555(n,k)*4^k.
a(n) = (10*4^n-(-5)^n)/9. [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Sep 25 2009]
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CROSSREFS
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Sequence in context: A064678 A088935 A030487 this_sequence A165625 A058820 A054363
Adjacent sequences: A165467 A165468 A165469 this_sequence A165471 A165472 A165473
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KEYWORD
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easy,sign
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 20 2009
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