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A165151
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a(n) = (3*11^n-7^n)/2.
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3
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1, 13, 157, 1825, 20761, 233173, 2598517, 28818985, 318655921, 3516744733, 38764899277, 426978842545, 4700721921481, 51735623710693, 569285638838437, 6263498473368505, 68907978330073441, 758054227491947053
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Binomial transform of A165150. Inverse binomial transform of A165152.
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..200
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FORMULA
| a(n) = 18*a(n-1)-77*a(n-2) for n > 1; a(0) = 1, a(1) = 13.
G.f.: (1-5*x)/((1-7*x)*(1-11*x)).
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MATHEMATICA
| Table[(3 11^n-7^n)/2, {n, 0, 20}] (* or *) LinearRecurrence[{18, -77}, {1, 13}, 20] (* From Harvey P. Dale, Jan 28 2012 *)
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PROG
| (MAGMA) [ (3*11^n-7^n)/2: n in [0..17] ];
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CROSSREFS
| Cf. A165150, A165152.
Sequence in context: A072841 A159499 A125470 * A016125 A175519 A015470
Adjacent sequences: A165148 A165149 A165150 * A165152 A165153 A165154
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KEYWORD
| nonn
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Sep 15 2009
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