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Search: id:A164072
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| A164072 |
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a(n) = 8*a(n-1)-14*a(n-2) for n > 1; a(0) = 1, a(1) = 7. |
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+0
3
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| 1, 7, 42, 238, 1316, 7196, 39144, 212408, 1151248, 6236272, 33772704, 182873824, 990172736, 5361148352, 29026768512, 157158071168, 850889810176, 4606905485056, 24942786537984, 135045615513088, 731165912572928
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OFFSET
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0,2
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COMMENT
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Binomial transform of A081179 without initial 0. Inverse binomial transform of A164031.
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FORMULA
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a(n) = ((2+3*sqrt(2))*(4+sqrt(2))^n+(2-3*sqrt(2))*(4-sqrt(2))^n)/4.
G.f.: (1-x)/(1-8*x+14*x^2).
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PROGRAM
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(MAGMA) [ n le 2 select 6*n-5 else 8*Self(n-1)-14*Self(n-2): n in [1..21] ];
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CROSSREFS
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Cf. A081179, A164031.
Sequence in context: A094429 A022731 A092072 this_sequence A111995 A050152 A030240
Adjacent sequences: A164069 A164070 A164071 this_sequence A164073 A164074 A164075
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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 09 2009
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