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A024140
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a(n) = 12^n - 1.
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10
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0, 11, 143, 1727, 20735, 248831, 2985983, 35831807, 429981695, 5159780351, 61917364223, 743008370687, 8916100448255, 106993205379071, 1283918464548863, 15407021574586367, 184884258895036415
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OFFSET
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0,2
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COMMENTS
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In base 12 these are 0, B, BB, BBB, ... . - David Rabahy, Dec 12 2016
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LINKS
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FORMULA
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G.f.: 1/(1-12*x) - 1/(1-x).
E.g.f.: exp(12*x) - exp(x). (End)
a(n) = Sum_{i=1..n} 11^i*binomial(n,n-i) for n>0, a(0)=0. - Bruno Berselli, Nov 11 2015
a(n) = 13*a(n-1) - 12*a(n-2) for n>1.
a(n) = 11*(A016125(n) - 1)/12. (End)
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MATHEMATICA
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12^Range[0, 20]-1 (* or *) LinearRecurrence[{13, -12}, {0, 11}, 20] (* Harvey P. Dale, Feb 01 2019 *)
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CROSSREFS
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Cf. Similar sequences of the type k^n-1: A000004 (k=1), A000225 (k=2), A024023 (k=3), A024036 (k=4), A024049 (k=5), A024062 (k=6), A024075 (k=7), A024088 (k=8), A024101 (k=9), A002283 (k=10), A024127 (k=11), this sequence (k=12).
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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