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A048474
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3*n*2^(n-1) + 1.
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4
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1, 4, 13, 37, 97, 241, 577, 1345, 3073, 6913, 15361, 33793, 73729, 159745, 344065, 737281, 1572865, 3342337, 7077889, 14942209, 31457281, 66060289, 138412033, 289406977, 603979777, 1258291201, 2617245697, 5435817985
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Original name: a(n) = T(2, n), array T given by A048472.
Binomial transform of A008486. - Paul Barry, Jul 09 2003
Row sums of triangle A134232. - Gary W. Adamson, Oct 14 2007
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
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FORMULA
| a(0)=1, a(1)=4, a(2)=13, a(n)=5*a(n-1)-8*a(n-2)+4*a(n-3) [From Harvey P. Dale, Jan 29 2012]
G.f.: (-x^2+x-1)/((x-1)(2*x-1)^2) [From Harvey P. Dale, Jan 29 2012]
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MATHEMATICA
| Table[3n 2^(n-1)+1, {n, 0, 30}] (* or *) LinearRecurrence[{5, -8, 4}, {1, 4, 13}, 30] (* From Harvey P. Dale, Jan 29 2012 *)
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PROG
| (MAGMA) [3*n * 2^(n-1) + 1: n in [0..30]]; // vincenzo Librandi, Sep 23 2011
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CROSSREFS
| n-th difference of a(n), a(n-1), ..., a(0) is (3, 6, 9, ...).
Cf. A134232.
Sequence in context: A067635 A003727 A103082 * A054761 A080145 A097551
Adjacent sequences: A048471 A048472 A048473 * A048475 A048476 A048477
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KEYWORD
| nonn,easy
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
| Better description from Paul Barry, Jul 09 2003
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