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Search: id:A083332
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| A083332 |
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a(n)=10a(n-2)-16a(n-4). |
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+0
3
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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
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OFFSET
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0,2
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COMMENT
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a(n)/A083333(n) converges to 3.
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FORMULA
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G.f.: (1+5x+4x^2-16x^3)/(1-10x^2+16x^4)
a(n)=A016116(n)*A014551(n+1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 08 2009]
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MATHEMATICA
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CoefficientList[Series[(1+5x+4x^2-16x^3)/(1-10x^2+16x^4), {x, 0, 30}], x]
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CROSSREFS
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Cf. A147590, A081342 (bisections). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 13 2009]
Sequence in context: A094584 A023515 A047860 this_sequence A101015 A076858 A001215
Adjacent sequences: A083329 A083330 A083331 this_sequence A083333 A083334 A083335
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KEYWORD
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easy,nonn
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AUTHOR
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Mario Catalani (mario.catalani(AT)unito.it), Apr 24 2003
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