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A152264 a(n) = ((9+sqrt(6))^n + (9-sqrt(6))^n)/2. 1
1, 9, 87, 891, 9513, 104409, 1165887, 13155291, 149353713, 1701720009, 19429431687, 222100769691, 2540606477913, 29073358875609, 332774973917487, 3809447614844091, 43611934023382113, 499306241307571209 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A152263. - Philippe Deléham, Dec 03 2008

LINKS

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (18, -75).

FORMULA

From Philippe Deléham, Dec 03 2008: (Start)

a(n) = 18*a(n-1) - 75*a(n-2), n > 1; a(0)=1, a(1)=9.

G.f.: (1-9*x)/(1-18*x+75*x^2).

a(n) = Sum_{k=0..n} A098158(n,k)*9^(2k-n)*6^(n-k). (End)

PROG

(MAGMA) Z<x>:= PolynomialRing(Integers()); N<r6>:=NumberField(x^2-6); S:=[ ((9+r6)^n+(9-r6)^n)/2: n in [0..17] ]; [ Integers()!S[j]: j in [1..#S] ]; // Klaus Brockhaus, Dec 03 2008

CROSSREFS

Sequence in context: A153191 A223277 A267265 * A035101 A245491 A160466

Adjacent sequences:  A152261 A152262 A152263 * A152265 A152266 A152267

KEYWORD

nonn

AUTHOR

Al Hakanson (hawkuu(AT)gmail.com), Dec 01 2008

EXTENSIONS

Extended beyond a(6) by Klaus Brockhaus, Dec 03 2008

STATUS

approved

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Last modified December 7 18:12 EST 2019. Contains 329847 sequences. (Running on oeis4.)