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Search: id:A083333
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| A083333 |
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a(n)=10a(n-2)-16a(n-4). |
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+0
2
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| 1, 1, 6, 10, 44, 84, 344, 680, 2736, 5456, 21856, 43680, 174784, 349504, 1398144, 2796160, 11184896, 22369536, 89478656, 178956800, 715828224, 1431655424, 5726623744, 11453245440, 45812985856, 91625967616, 366503878656
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OFFSET
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0,3
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COMMENT
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A083332(n)/a(n) converges to 3.
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FORMULA
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G.f.: (1+x-4x^2)/(1-10x^2+16x^4)
a(n)=A016116(n)*A001045(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+x-4x^2)/(1-10x^2+16x^4), {x, 0, 30}], x]
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CROSSREFS
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Cf. A016131, A082412 (bisections). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 13 2009]
Sequence in context: A132095 A153328 A068588 this_sequence A032359 A115917 A115741
Adjacent sequences: A083330 A083331 A083332 this_sequence A083334 A083335 A083336
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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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