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A016325
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Expansion of 1/((1-2x)(1-10x)(1-11x)).
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6
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1, 23, 377, 5395, 71841, 915243, 11317657, 136994195, 1631936081, 19201296763, 223714264137, 2585856904995, 29694425953921, 339138685491083, 3855525540397817, 43660780944367795, 492768590388029361
(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 (23,-152,220)
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FORMULA
| a(n) = 11^(n+2)/9+2^(n-1)/9-25*10^n/2. a(n) = A016135(n+1)-A016134(n+1). [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009, corrected by R. J. Mathar, Mar 14 2011
a(n) = 21*a(n-1) - 110*a(n-2) + 2^n. - Vincenzo Librandi, Oct 09 2011
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PROG
| (Other) sage: [(11^n - 2^n)/9-(10^n - 2^n)/8 for n in xrange(2, 19)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009]
(MAGMA) [(2*11^(n+2) +2^n-225*10^n)/18 : n in [0..20]]; // Vincenzo Librandi, Oct 09 2011
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CROSSREFS
| A016134, A016135 [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009]
Sequence in context: A018091 A021279 A018071 * A016324 A046493 A014926
Adjacent sequences: A016322 A016323 A016324 * A016326 A016327 A016328
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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