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A053455
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A linear recursive sequence.
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1
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1, 2, 52, 200, 2896, 15392, 169792, 1078400, 10306816, 72376832, 639480832, 4753049600, 40201179136, 308548739072, 2546754076672, 19903847628800, 162051890937856, 1279488468058112, 10337467701133312, 82090381869056000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
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FORMULA
| a(n)=[(8^n)-(-6)^n]/14=(2^(n-1))*[(4^n)-(-3)^n]/7=(2^(n-1))*(A053404).
G.f.: 1/(1-2*x-48*x^2) [From Harvey P. Dale, Nov 28 2011]
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EXAMPLE
| a(n)=2a(n-1)+48a(n-2), n>1; a(0)=1.
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MATHEMATICA
| LinearRecurrence[{2, 48}, {1, 2}, 30] (* From Harvey P. Dale, Nov 28 2011 *)
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CROSSREFS
| Cf. A053404, A051958, A015441.
Sequence in context: A129742 A105647 * A080921 A034311 A053317 A123803
Adjacent sequences: A053452 A053453 A053454 * A053456 A053457 A053458
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KEYWORD
| easy,nonn
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AUTHOR
| Barry E. Williams, Jan 13 2000
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Feb 02 2000
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