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Search: id:A164552
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| A164552 |
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a(n) = 12*a(n-1)-30*a(n-2) for n > 1; a(0) = 1, a(1) = 10. |
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+0
4
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| 1, 10, 90, 780, 6660, 56520, 478440, 4045680, 34194960, 288969120, 2441780640, 20632294080, 174334109760, 1473040494720, 12446462643840, 105166336884480, 888602163298560, 7508235853048320, 63440765337623040, 536042108460026880
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Binomial transform of A164551. Inverse binomial transform of A164553.
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FORMULA
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a(n) = ((3+2*sqrt(6))*(6+sqrt(6))^n+(3-2*sqrt(6))*(6-sqrt(6))^n)/6.
G.f.: (1-2*x)/(1-12*x+30*x^2).
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PROGRAM
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(MAGMA) [ n le 2 select 9*n-8 else 12*Self(n-1)-30*Self(n-2): n in [1..20] ];
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CROSSREFS
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Cf. A164551, A164553.
Sequence in context: A038726 A009454 A004985 this_sequence A057086 A092420 A010579
Adjacent sequences: A164549 A164550 A164551 this_sequence A164553 A164554 A164555
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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 15 2009
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