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 A161729 a(n) = ((4+sqrt(3))*(8+2*sqrt(3))^n-(4-sqrt(3))*(8-2*sqrt(3))^n)/(2*sqrt(3)). 3
 1, 16, 204, 2432, 28304, 326400, 3750592, 43036672, 493555968, 5658988544, 64878906368, 743795097600, 8527018430464, 97754949812224, 1120674238611456, 12847530427547648, 147285426432966656, 1688495240694988800 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Eighth binomial transform of A162466. LINKS Harvey P. Dale, Table of n, a(n) for n = 0..943 FORMULA a(n) = 16*a(n-1)-52(n-2) for n > 1; a(0) = 1, a(1) = 16. G.f.: 1/(1-16*x+52*x^2). - Klaus Brockhaus, Jun 19 2009 a(n) = 2^n*A153594(n). - M. F. Hasler, Dec 03 2014 MATHEMATICA Join[{a=1, b=16}, Table[c=16*b-52*a; a=b; b=c, {n, 40}]] (* Vladimir Joseph Stephan Orlovsky, Feb 08 2011*) LinearRecurrence[{16, -52}, {1, 16}, 20] (* Harvey P. Dale, Dec 23 2020 *) PROG (PARI) F=nfinit(x^2-3); for(n=0, 17, print1(nfeltdiv(F, ((4+x)*(8+2*x)^n-(4-x)*(8-2*x)^n), (2*x))[1], ", ")) \\ Klaus Brockhaus, Jun 19 2009 (PARI) Vec(1/(1-16*x+52*x^2)+O(x^25)) \\ M. F. Hasler, Dec 03 2014 CROSSREFS Cf. A162466, A161728, A153594. Sequence in context: A144632 A221825 A238282 * A157707 A016217 A055758 Adjacent sequences:  A161726 A161727 A161728 * A161730 A161731 A161732 KEYWORD nonn AUTHOR Al Hakanson (hawkuu(AT)gmail.com), Jun 17 2009 EXTENSIONS Extended beyond a(5) by Klaus Brockhaus, Jun 19 2009 Edited by Klaus Brockhaus, Jul 05 2009, and M. F. Hasler, Dec 03 2014 STATUS approved

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Last modified April 14 18:48 EDT 2021. Contains 342951 sequences. (Running on oeis4.)