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A167593
The third left hand column of triangle A167591.
5
9, 120, 952, 5664, 27888, 120064, 467712, 1686528, 5719296, 18450432, 57108480, 170713088, 495366144, 1401028608, 3874881536, 10508304384, 28005433344, 73485778944, 190154539008, 485895438336, 1227495571456
OFFSET
3,1
FORMULA
a(n) = 2^n*(7*n^5 - 40*n^4 + 110*n^3 - 155*n^2 + 78*n)/240.
GF(z) = (52*z^2 + 12*z + 9)/(1-2*z)^6.
a(n) = 12*a(n-1) - 60*a(n-2) + 160*a(n-3) - 240*a(n-4) + 192*a(n-5) - 64*a(n-6).
a(n) - 11*a(n-1) + 50*a(n-2) - 120*a(n-3) + 160*a(n-4) - 112*a(n-5) + 32*a(n-6) = 7*2^(n-2).
MATHEMATICA
LinearRecurrence[{12, -60, 160, -240, 192, -64}, {9, 120, 952, 5664, 27888, 120064}, 100] (* G. C. Greubel, Jun 17 2016 *)
CROSSREFS
Equals the third left hand column of A167591.
Other left hand columns are A001787, A167592, A168307 and A168308.
Sequence in context: A054051 A159660 A061172 * A214698 A024487 A002691
KEYWORD
easy,nonn
AUTHOR
Johannes W. Meijer, Nov 10 2009
EXTENSIONS
Formulae and links added by Johannes W. Meijer, Nov 23 2009
STATUS
approved