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A016295
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Expansion of 1/((1-2x)(1-5x)(1-6x)).
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0
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1, 13, 117, 905, 6461, 43953, 289717, 1868425, 11861421, 74423393, 462815717, 2858273145, 17556537181, 107373722833, 654414852117, 3977351721065, 24118423433741, 145982106270273, 882250466222917
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..18.
Index to sequences with linear recurrences with constant coefficients, signature (13,-52,60).
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FORMULA
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a(n) =A016129(n+1) - A016127(n+1). [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009]
a(n) = 13*a(n-1) - 52*a(n-2) + 60*a(n-3), n>=3.
a(n) = 11*a(n-1) - 30*a(n-2) + 2^n, n>=2. - Vincenzo Librandi, Mar 16 2011
a(n) = 7*a(n-1) - 10*a(n-2) + 6^n, n>=2 . - Vincenzo Librandi, Mar 16 2011
a(n) = 8*a(n-1) - 12*a(n-2) + 5^n, n >= 2. - Vincenzo Librandi, Mar 16 2011
a(n) = -5^(n+2)/3 +9*6^n +2^n/3. - R. J. Mathar, Mar 18 2011
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PROG
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(Sage) [(6^n - 2^n)/4-(5^n - 2^n)/3 for n in xrange(2, 21)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009]
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CROSSREFS
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A016127, A016129, A016130, A016311, A016316, A016321, A016325 [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009]
Sequence in context: A155621 A021034 A022737 * A051824 A016285 A121086
Adjacent sequences: A016292 A016293 A016294 * A016296 A016297 A016298
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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