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A081122
10th binomial transform of (1,1,0,0,0,0,...).
3
1, 11, 120, 1300, 14000, 150000, 1600000, 17000000, 180000000, 1900000000, 20000000000, 210000000000, 2200000000000, 23000000000000, 240000000000000, 2500000000000000, 26000000000000000, 270000000000000000
OFFSET
0,2
FORMULA
a(n) = 20*a(n-1) - 100*a(n-2), a(0) = 1, a(1) = 11.
a(n) = (n + 10)*10^(n-1).
G.f.: (1 - 9*x)/(1 - 10*x)^2.
E.g.f.: exp(10*x)*(1 + x). - Stefano Spezia, Mar 04 2023
MATHEMATICA
CoefficientList[Series[(1 - 9 x) / (1 - 10 x)^2, {x, 0, 20}], x] (* Vincenzo Librandi, Aug 06 2013 *)
PROG
(Magma) [(n+10)*10^(n-1): n in [0..25]]; // Vincenzo Librandi, Aug 06 2013
CROSSREFS
Sequence in context: A060498 A274119 A171316 * A004190 A089707 A223391
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Mar 07 2003
STATUS
approved