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A016147 Expansion of 1/((1-3x)(1-12x)). 0
1, 15, 189, 2295, 27621, 331695, 3981069, 47775015, 573306741, 6879700575, 82556465949, 990677768535, 11888133753861, 142657606640655, 1711891284470829, 20542695427998855, 246512345179032981 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (15,-36).

FORMULA

a(n) = 15*a(n-1) - 36*a(n-2). - Vincenzo Librandi, Mar 14 2011

a(n) = (4*12^n-3^n)/3. - Zak Seidov, Mar 14 2011

MATHEMATICA

Join[{a=1, b=15}, Table[c=15*b-36*a; a=b; b=c, {n, 60}]] (*From Vladimir Joseph Stephan Orlovsky, Feb 01 2011*)

CROSSREFS

Sequence in context: A206521 A206514 A016207 * A145601 A004344 A038339

Adjacent sequences:  A016144 A016145 A016146 * A016148 A016149 A016150

KEYWORD

nonn

AUTHOR

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

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Last modified February 13 20:26 EST 2012. Contains 205553 sequences.