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A198794
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a(n) = 5*6^n - 1.
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1
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4, 29, 179, 1079, 6479, 38879, 233279, 1399679, 8398079, 50388479, 302330879, 1813985279, 10883911679, 65303470079, 391820820479, 2350924922879, 14105549537279, 84633297223679, 507799783342079, 3046798700052479, 18280792200314879, 109684753201889279
(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 (7,-6).
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FORMULA
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a(n) = 6*a(n-1) + 5.
a(n) = 7*a(n-1) - 6*a(n-2), n > 1.
G.f.: ( 4+x ) / ( (6*x-1)*(x-1) ). - R. J. Mathar, Oct 30 2011
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MATHEMATICA
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LinearRecurrence[{7, -6}, {4, 29}, 30] (* Harvey P. Dale, Dec 25 2014 *)
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PROG
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(MAGMA) [5*6^n-1: n in [0..30]]
(Python)
def a(n): return 5 * 6**n - 1
print([a(n) for n in range(22)]) # Michael S. Branicky, Apr 29 2021
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CROSSREFS
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Sequence in context: A303464 A301445 A353818 * A258416 A079885 A121191
Adjacent sequences: A198791 A198792 A198793 * A198795 A198796 A198797
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KEYWORD
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nonn,easy
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AUTHOR
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Vincenzo Librandi, Oct 30 2011
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STATUS
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approved
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