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A016190 Expansion of 1/((1-9x)(1-11x)). 3
1, 20, 301, 4040, 51001, 620060, 7352101, 85656080, 985263601, 11225320100, 126965305501, 1427999420120, 15990423157801, 178436520564140, 1985678518660501, 22048354837360160, 244384923399813601 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (20,-99).

FORMULA

a(n) = (11^n-9^n)/2. - Bruno Berselli, Feb 09 2011

a(0)=1, a(n)=11*a(n-1)+9^n. [From Vincenzo Librandi, Feb 09 2011]

a(0)=1, a(1)=20, a(n)=20*a(n-1)-99*a(n-2). [From Vincenzo Librandi, Feb 09 2011]

CROSSREFS

Sequence in context: A053541 A004345 A001755 * A016188 A006300 A034094

Adjacent sequences:  A016187 A016188 A016189 * A016191 A016192 A016193

KEYWORD

nonn

AUTHOR

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

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.