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A128784 n^2*5^n. 1
0, 5, 100, 1125, 10000, 78125, 562500, 3828125, 25000000, 158203125, 976562500, 5908203125, 35156250000, 206298828125, 1196289062500, 6866455078125, 39062500000000, 220489501953125, 1235961914062500, 6885528564453125 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

FORMULA

a(0)=0, a(1)=5, a(2)=100, a(n)=15*a(n-1)-75*a(n-2)+125*a(n-3) [From Harvey P. Dale, Dec 30 2011]

G.f.: -((5*(5*x^2+x))/(5*x-1)^3) [From Harvey P. Dale, Dec 30 2011]

MATHEMATICA

Table[n^2 5^n, {n, 0, 20}] (* or *) LinearRecurrence[{15, -75, 125}, {0, 5, 100}, 20] (* From Harvey P. Dale, Dec 30 2011 *)

CROSSREFS

Cf. A036289; A007758.

Sequence in context: A197474 A147539 A156276 * A078534 A141120 A123668

Adjacent sequences:  A128781 A128782 A128783 * A128785 A128786 A128787

KEYWORD

nonn

AUTHOR

Mohammad K. Azarian (azarian(AT)evansville.edu), Apr 07 2007

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Last modified February 17 02:08 EST 2012. Contains 205978 sequences.