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 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Binomial transform of A152265. - Philippe Deléham, Dec 03 2008 LINKS FORMULA From Philippe Deléham, Dec 03 2008: (Start) a(n) = 18*a(n-1) - 74*a(n-2), n > 1; a(0)=1, a(1)=9. G.f.: (1-9*x)/(1-18*x+74*x^2). a(n) = Sum_{k=0..n} A098158(n,k)*9^(2k-n)*7^(n-k). (End) PROG (MAGMA) Z:= PolynomialRing(Integers()); N:=NumberField(x^2-7); S:=[ ((9+r7)^n+(9-r7)^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

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Last modified December 12 09:36 EST 2019. Contains 329953 sequences. (Running on oeis4.)