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A067419
Fourth column of triangle A067417.
7
1, 6, 72, 864, 10368, 124416, 1492992, 17915904, 214990848, 2579890176, 30958682112, 371504185344, 4458050224128, 53496602689536, 641959232274432, 7703510787293184, 92442129447518208, 1109305553370218496, 13311666640442621952, 159739999685311463424
OFFSET
0,2
FORMULA
a(n) = A067417(n+3, 3).
a(n) = 6*(3*4)^(n-1), n >= 1, a(0)=1.
G.f.: (1-6*x)/(1-12*x).
a(n) = Sum_{k=0..n} A134309(n,k)*6^k = Sum_{k=0..n} A055372(n,k)*5^k. - Philippe Deléham, Feb 04 2012
MATHEMATICA
Join[{1}, NestList[12*# &, 6, 20]] (* Paolo Xausa, Sep 03 2024 *)
PROG
(Magma) [Ceiling(6*(3*4)^(n-1)): n in [0..20]]; // Vincenzo Librandi, Oct 02 2011
CROSSREFS
Cf. A067403 (third column), A067420 (fifth column), A001021 (powers of 12).
Sequence in context: A105928 A186665 A007031 * A113331 A333593 A214159
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Jan 25 2002
STATUS
approved