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A238055
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a(n) = (13*3^n-1)/2.
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1
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6, 19, 58, 175, 526, 1579, 4738, 14215, 42646, 127939, 383818, 1151455, 3454366, 10363099, 31089298, 93267895, 279803686, 839411059, 2518233178, 7554699535, 22664098606, 67992295819, 203976887458, 611930662375, 1835791987126, 5507375961379, 16522127884138
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OFFSET
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0,1
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LINKS
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Table of n, a(n) for n=0..26.
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FORMULA
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a(n) = 3*a(n-1) + 1, a(0)=6.
a(n) = 4*a(n-1) - 3*a(n-2), a(0)=6, a(1)=19.
a(n) = 2*A237930(n) - A003462(n).
a(n) = A052909(n+1) + A000244(n).
a(n) = A237930(n) + A000244(n+1).
a(n) = 13*A003462(n) + 6.
G.f.: (6-5*x)/((1-x)*(1-3*x)).
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EXAMPLE
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Ternary....................Decimal
20...............................6
201.............................19
2011............................58
20111..........................175
201111.........................526
2011111.......................1579
20111111......................4738
201111111....................14215, etc.
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CROSSREFS
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Cf. A000244, A003462, A052909, A060816, A237930.
Sequence in context: A286184 A027044 A057571 * A272227 A272587 A125069
Adjacent sequences: A238052 A238053 A238054 * A238056 A238057 A238058
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KEYWORD
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nonn,easy
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AUTHOR
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Philippe Deléham, Feb 17 2014
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STATUS
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approved
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