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A198858
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a(n) = 11*8^n-1.
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1
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10, 87, 703, 5631, 45055, 360447, 2883583, 23068671, 184549375, 1476395007, 11811160063, 94489280511, 755914244095, 6047313952767, 48378511622143, 387028092977151, 3096224743817215, 24769797950537727, 198158383604301823
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history;
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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 (9,-8).
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FORMULA
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a(n) = 8*a(n-1)+7. a(n) = 9*a(n-1)-8*a(n-2), n>1.
G.f.: ( 10-3*x ) / ( (8*x-1)*(x-1) ). - R. J. Mathar, Oct 31 2011
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MAPLE
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A198858:=n->11*8^n-1: seq(A198858(n), n=0..30); # Wesley Ivan Hurt, Jan 22 2017
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MATHEMATICA
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11*8^Range[0, 20]-1 (* or *) LinearRecurrence[{9, -8}, {10, 87}, 20] (* Harvey P. Dale, May 19 2021 *)
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PROG
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(MAGMA) [11*8^n-1: n in [0..30]]
(PARI) a(n)=11*8^n-1 \\ Charles R Greathouse IV, Jan 23 2017
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CROSSREFS
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Sequence in context: A264174 A218894 A251193 * A331793 A121115 A292998
Adjacent sequences: A198855 A198856 A198857 * A198859 A198860 A198861
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KEYWORD
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nonn,easy
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AUTHOR
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Vincenzo Librandi, Oct 31 2011
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STATUS
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approved
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