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A164552 a(n) = 12*a(n-1)-30*a(n-2) for n > 1; a(0) = 1, a(1) = 10. 3
1, 10, 90, 780, 6660, 56520, 478440, 4045680, 34194960, 288969120, 2441780640, 20632294080, 174334109760, 1473040494720, 12446462643840, 105166336884480, 888602163298560, 7508235853048320, 63440765337623040, 536042108460026880 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A164551. Inverse binomial transform of A164553.

FORMULA

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).

PROG

(MAGMA) [ n le 2 select 9*n-8 else 12*Self(n-1)-30*Self(n-2): n in [1..20] ];

CROSSREFS

Cf. A164551, A164553.

Sequence in context: A162756 A199940 A004985 * A057086 A092420 A010579

Adjacent sequences:  A164549 A164550 A164551 * A164553 A164554 A164555

KEYWORD

nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 15 2009

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Last modified February 15 05:45 EST 2012. Contains 205694 sequences.