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A128988 (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 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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) [From Harvey P. Dale, Oct 25 2011]

G.f.: (50*(5*x^2+2*x))/(5*x-1)^4 [From 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

Cf. A128796; A036289.

Sequence in context: A167043 A203283 A114777 * A075822 A200937 A112889

Adjacent sequences:  A128985 A128986 A128987 * A128989 A128990 A128991

KEYWORD

nonn

AUTHOR

Mohammad K. Azarian (azarian(AT)evansville.edu), Apr 30 2007

EXTENSIONS

Corrected the first offset. - Mohammad K. Azarian (azarian(AT)evansville.edu), Nov 19 2008

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Last modified February 17 16:39 EST 2012. Contains 206058 sequences.