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A164072 a(n) = 8*a(n-1)-14*a(n-2) for n > 1; a(0) = 1, a(1) = 7. 2
1, 7, 42, 238, 1316, 7196, 39144, 212408, 1151248, 6236272, 33772704, 182873824, 990172736, 5361148352, 29026768512, 157158071168, 850889810176, 4606905485056, 24942786537984, 135045615513088, 731165912572928 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A081179 without initial 0. Inverse binomial transform of A164031.

FORMULA

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).

PROG

(MAGMA) [ n le 2 select 6*n-5 else 8*Self(n-1)-14*Self(n-2): n in [1..21] ];

CROSSREFS

Cf. A081179, A164031.

Sequence in context: A092072 A200864 A162744 * A111995 A050152 A030240

Adjacent sequences:  A164069 A164070 A164071 * A164073 A164074 A164075

KEYWORD

nonn

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 09 2009

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Last modified February 16 09:27 EST 2012. Contains 205904 sequences.