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A016311
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Expansion of 1/((1-2*x)*(1-7*x)*(1-8*x)).
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6
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1, 17, 203, 2101, 20163, 184821, 1643251, 14298917, 122461955, 1036190485, 8684988819, 72248167173, 597363137827, 4914549713909, 40265910006707, 328773866154469, 2676717032006979, 21739418975585493
(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..500
Index to sequences with linear recurrences with constant coefficients, signature (17,-86,112).
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FORMULA
| a(n) = A016131(n+1)-A016130(n+1). [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009]
a(n) = 4*8^(n+1)/3 - 7^(n+2)/5 + 2^(n+1)/15. - R. J. Mathar, Mar 14 2011
a(n) = (160*8^n-147*7^n+2*2^n)/15; a(n) = 15*a(n-1)-56*a(n-2)+2^n; [From Vincenzo Librandi, Sep 02 2011]
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PROG
| (Sage) [(8^n - 2^n)/6-(7^n - 2^n)/5 for n in xrange(2, 21)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009]
(MAGMA) [(160*8^n-147*7^n+2*2^n)/15: n in [0..20]]; // Vincenzo Librandi, Sep 02 2011
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CROSSREFS
| A016130, A016131 [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009]
Sequence in context: A065895 A009479 A017897 * A140961 A016306 A021092
Adjacent sequences: A016308 A016309 A016310 * A016312 A016313 A016314
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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