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Search: id:A164310
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| A164310 |
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a(n) = 6*a(n-1)-6*a(n-2) for n > 1; a(0) = 4, a(1) = 15. |
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+0
1
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| 4, 15, 66, 306, 1440, 6804, 32184, 152280, 720576, 3409776, 16135200, 76352544, 361304064, 1709709120, 8090430336, 38284327296, 181163381760, 857274326784, 4056665670144, 19196348060160, 90838094340096, 429850477679616
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OFFSET
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0,1
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COMMENT
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Binomial transform of A077236. Inverse binomial transform of A083882 without initial 1.
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FORMULA
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a(n) = ((4+sqrt(3))*(3+sqrt(3))^n+(4-sqrt(3))*(3-sqrt(3))^n)/2.
G.f.: (4-9*x)/(1-6*x+6*x^2).
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PROGRAM
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(MAGMA) [ n le 2 select 11*n-7 else 6*Self(n-1)-6*Self(n-2): n in [1..22] ];
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CROSSREFS
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Cf. A077236, A083882.
Sequence in context: A007526 A097422 A102129 this_sequence A011967 A055732 A125062
Adjacent sequences: A164307 A164308 A164309 this_sequence A164311 A164312 A164313
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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), Aug 12 2009
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