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A016262
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Expansion of 1/((1-x)(1-9x)(1-11x)).
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0
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1, 21, 322, 4362, 55363, 675423, 8027524, 93683604, 1078947205, 12304267305, 139269572806, 1567268992926, 17557692150727, 195994212714867, 2181672731375368, 24230027568735528, 268614950968549129
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (21,-119,99).
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FORMULA
| a(n) = (4*11^(n+2)-5*9^(n+2)+1)/80 - Bruno Berselli, Mar 21 2011
a(n)=20*a(n-1)-99*a(n-2)+1, n>=2. - Vincenzo Librandi, Mar 21 2011
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MAPLE
| a:=n->sum((11^(n-j)-9^(n-j))/2, j=0..n): seq(a(n), n=1..17); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 12 2007
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CROSSREFS
| Sequence in context: A057610 A036737 A141267 * A001233 A145148 A016260
Adjacent sequences: A016259 A016260 A016261 * A016263 A016264 A016265
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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