

A152266


a(n) = ((9 + sqrt(7))^n + (9  sqrt(7))^n)/2.


2



1, 9, 88, 918, 10012, 112284, 1280224, 14735016, 170493712, 1978495632, 22996386688, 267526283616, 3113740490176, 36250383835584, 422090112767488, 4915093625981568, 57237016922874112, 666549376289097984
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OFFSET

0,2


COMMENTS

Binomial transform of A152265.  Philippe Deléham, Dec 03 2008


LINKS

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


FORMULA

From Philippe Deléham, Dec 03 2008: (Start)
a(n) = 18*a(n1)  74*a(n2), n > 1; a(0)=1, a(1)=9.
G.f.: (19*x)/(118*x+74*x^2).
a(n) = Sum_{k=0..n} A098158(n,k)*9^(2kn)*7^(nk). (End)


PROG

(MAGMA) Z<x>:= PolynomialRing(Integers()); N<r7>:=NumberField(x^27); S:=[ ((9+r7)^n+(9r7)^n)/2: n in [0..17] ]; [ Integers()!S[j]: j in [1..#S] ]; // Klaus Brockhaus, Dec 03 2008


CROSSREFS

Sequence in context: A245491 A160466 A015583 * A260041 A084022 A084015
Adjacent sequences: A152263 A152264 A152265 * A152267 A152268 A152269


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



