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A083332
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a(n) = 10*a(n-2)-16*a(n-4) for n>3, a(0)=1, a(1)=5, a(2)=14, a(3)=34.
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4
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1, 5, 14, 34, 124, 260, 1016, 2056, 8176, 16400, 65504, 131104, 524224, 1048640, 4194176, 8388736, 33554176, 67109120, 268434944, 536871424, 2147482624, 4294968320, 17179867136, 34359740416, 137438949376, 274877911040
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| a(n)/A083333(n) converges to 3.
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FORMULA
| G.f.: (1+5*x+4*x^2-16*x^3)/(1-10*x^2+16*x^4)
a(n) = A016116(n)*A014551(n+1). - R. J. Mathar, Jul 08 2009
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MATHEMATICA
| CoefficientList[Series[(1+5x+4x^2-16x^3)/(1-10x^2+16x^4), {x, 0, 30}], x]
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CROSSREFS
| Cf. A147590, A081342 (bisections). [From R. J. Mathar, Jul 13 2009]
Cf. A199710. [From Bruno Berselli, Nov 11 2011]
Sequence in context: A094584 A023515 A047860 * A101015 A076858 A001215
Adjacent sequences: A083329 A083330 A083331 * A083333 A083334 A083335
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KEYWORD
| nonn,easy
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AUTHOR
| Mario Catalani (mario.catalani(AT)unito.it), Apr 24 2003
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