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1, 12, 108, 864, 6480, 46656, 326592, 2239488, 15116544, 100776960, 665127936, 4353564672, 28298170368, 182849716224, 1175462461440, 7522959753216, 47958868426752, 304679870005248, 1929639176699904, 12187194800209920
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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COMMENTS
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Binomial transform of A053464. - R. J. Mathar, Oct 26 2011
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REFERENCES
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A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..400
F. Ellermann, Illustration of binomial transforms
Index to sequences with linear recurrences with constant coefficients, signature (12,-36)
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FORMULA
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a(n)=12*a(n-1)-36*a(n-2), n>0; a(0)=1.
G.f.: x/(6x-1)^2 . [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 28 2009]
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MATHEMATICA
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f[n_]:=n*6^(n-1); f[Range[40]] (*From Vladimir Joseph Stephan Orlovsky, Feb 09 2011*)
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PROG
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(Sage): [lucas_number1(n, 12, 36) for n in xrange(1, 21)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 28 2009]
(MAGMA) [n*(6^(n-1)): n in [1..30]]; // Vincenzo Librandi, Jun 09 2011
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CROSSREFS
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Cf. A002697 and A027471.
Sequence in context: A154671 A037972 A111990 * A055533 A037602 A037707
Adjacent sequences: A053466 A053467 A053468 * A053470 A053471 A053472
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KEYWORD
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easy,nonn
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AUTHOR
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Barry E. Williams, Jan 13 2000
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EXTENSIONS
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More terms from James A. Sellers, Feb 02 2000
More terms from ZerinvaryLajos (zerinvarylajos(AT)yahoo.com), Oct 02 2007
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STATUS
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approved
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