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6, 39, 270, 1887, 13206, 92439, 647070, 4529487, 31706406, 221944839, 1553613870, 10875297087, 76127079606, 532889557239, 3730226900670, 26111588304687, 182781118132806, 1279467826929639, 8956274788507470, 62693923519552287
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (8,-7).
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FORMULA
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a(n) = 7*a(n-1)-3.
a(n) = 8*a(n-1)-7*a(n-2).
G.f.: 3*(2-3*x)/((1-x)*(1-7*x)).
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MATHEMATICA
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(11*7^Range[0, 30]+1)/2 (* or *) LinearRecurrence[{8, -7}, {6, 39}, 30] (* Harvey P. Dale, Jan 23 2013 *)
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PROG
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(MAGMA) [(11*7^n+1)/2: n in [0..30]];
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CROSSREFS
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Sequence in context: A238809 A006256 A052392 * A147961 A264232 A068765
Adjacent sequences: A199488 A199489 A199490 * A199492 A199493 A199494
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KEYWORD
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nonn,easy
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AUTHOR
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Vincenzo Librandi, Nov 07 2011
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STATUS
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approved
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