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A084134 a(n)=8a(n-1)-6a(n-2), a(0)=1,a(1)=4. 3
1, 4, 26, 184, 1316, 9424, 67496, 483424, 3462416, 24798784, 177615776, 1272133504, 9111373376, 65258185984, 467397247616, 3347628865024, 23976647434496, 171727406285824, 1229959365679616, 8809310487721984 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A005667.

LINKS

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (8,-6).

FORMULA

a(n)=(4+sqrt(10))^n/2+(4-sqrt(10))^n/2; G.f.: (1-4x)/(1-8x+6x^2); E.g.f. : exp(4x)cosh(sqrt(10)x).

MATHEMATICA

LinearRecurrence[{8, -6}, {1, 4}, 30] (* Harvey P. Dale, Nov 30 2011 *)

CROSSREFS

Cf. A084135.

Sequence in context: A108082 A199490 A116429 * A098443 A264226 A052775

Adjacent sequences:  A084131 A084132 A084133 * A084135 A084136 A084137

KEYWORD

easy,nonn

AUTHOR

Paul Barry, May 16 2003

STATUS

approved

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Last modified October 20 18:08 EDT 2018. Contains 316401 sequences. (Running on oeis4.)