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A128988
a(n) = (n^3 - n^2)*5^n.
2
0, 100, 2250, 30000, 312500, 2812500, 22968750, 175000000, 1265625000, 8789062500, 59082031250, 386718750000, 2475585937500, 15551757812500, 96130371093750, 585937500000000, 3527832031250000, 21011352539062500
OFFSET
1,2
FORMULA
a(1)=0, a(2)=100, a(3)=2250, a(4)=30000, a(n)=20*a(n-1)- 150*a(n-2)+ 500*a(n-3)- 625*a(n-4). - Harvey P. Dale, Oct 25 2011
G.f.: (50*(5*x^2+2*x))/(5*x-1)^4. - Harvey P. Dale, Oct 25 2011
MATHEMATICA
Table[(n^3-n^2)5^n, {n, 20}] (* or *) LinearRecurrence[{20, -150, 500, -625}, {0, 100, 2250, 30000}, 20]
PROG
(Magma) [(n^3-n^2)*5^n: n in [1..30]]; // Vincenzo Librandi, Oct 26 2011
CROSSREFS
Sequence in context: A231139 A295589 A114777 * A075822 A250845 A200937
KEYWORD
nonn
AUTHOR
Mohammad K. Azarian, Apr 30 2007
EXTENSIONS
Offset corrected by Mohammad K. Azarian, Nov 19 2008
STATUS
approved