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A016195 11^n - 10^n. 1
0, 1, 21, 331, 4641, 61051, 771561, 9487171, 114358881, 1357947691, 15937424601, 185311670611, 2138428376721, 24522712143931, 279749833583241, 3177248169415651, 35949729863572161, 405447028499293771 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

FORMULA

G.f.: x/((1-10x)(1-11x)).

E.g.f.: e^(11*x)-e^(10*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 14 2009]

a(0)=0, a(n)=11*a(n-1)+10^(n-1). [From Vincenzo Librandi, Feb 09 2011]

a(0)=0, a(1)=1, a(n)=21*a(n-1)-110*a(n-2). [From Vincenzo Librandi, Feb 09 2011]

MATHEMATICA

f[n_]:=11^n-10^n; f[Range[0, 40]] (*From Vladimir Joseph Stephan Orlovsky, Feb 14 2011*)

CROSSREFS

Sequence in context: A016260 A011810 A091947 * A016191 A095905 A051525

Adjacent sequences:  A016192 A016193 A016194 * A016196 A016197 A016198

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 15 07:38 EST 2012. Contains 205714 sequences.