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A016321
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Expansion of 1/((1-2x)(1-9x)(1-10x)).
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6
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1, 21, 313, 4065, 49081, 566721, 6350473, 69654225, 751887961, 8016991521, 84652923433, 886876310385, 9231886792441, 95586981129921, 985282830165193, 10117545471478545, 103557909243290521, 1057021183189581921
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..900
Index to sequences with linear recurrences with constant coefficients, signature (21,-128,180).
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FORMULA
| a(n) = 2^(n-1)/7-9^(n+2)/7+25*10^n/2 . a(n) = A016134(n+1)-A016133(n+1). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009, corrected by R. J. Mathar, Mar 14 2011
Contribution by Vincenzo Librandi, Oct 09 2011: (Start)
a(n) = (175*10^n +2^n-2*9^(n+2))/14.
a(n) = 19*a(n-1) - 90*a(n-2) + 2^n.
a(n) = 21*a(n-1) - 128*a(n-2) + 180*a(n-3), n>=3. (End)
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PROG
| (Other) sage: [(10^n - 2^n)/8-(9^n - 2^n)/7 for n in xrange(2, 20)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009]
(MAGMA) [(175*10^n +2^n-2*9^(n+2))/14 : n in [0..20]]; // Vincenzo Librandi, Oct 09 2011
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CROSSREFS
| A016133, A016134 [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009]
Sequence in context: A021484 A198376 A157088 * A019041 A021214 A016318
Adjacent sequences: A016318 A016319 A016320 * A016322 A016323 A016324
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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