A128802 a(n) = n*(n-1)*8^n.
0, 0, 128, 3072, 49152, 655360, 7864320, 88080384, 939524096, 9663676416, 96636764160, 944892805120, 9070970929152, 85761906966528, 800444465020928, 7388718138654720, 67553994410557440, 612489549322387456
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (24,-192,512).
Programs
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Magma
[(n^2-n)*8^n: n in [0..20]]; // Vincenzo Librandi, Nov 16 2011
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Mathematica
Table[(n^2-n)8^n,{n,0,20}] (* or *) LinearRecurrence[{24,-192,512},{0,0,128},20] (* Harvey P. Dale, Nov 05 2011 *)
Formula
a(n) = 24*a(n-1) - 192*a(n-2) + 512*a(n-3); a(0)=0, a(1)=0, a(2)=128. - Harvey P. Dale, Nov 05 2011
G.f.: -128*x^2/(8*x-1)^3. - Harvey P. Dale, Nov 05 2011
a(n) = 128*A081138(n). - R. J. Mathar, Apr 26 2015