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Search: id:A166863
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| A166863 |
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a(1)= 1; a(2)= 5; thereafter a(n)= a(n-1)+a(n-2)+5 |
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+0
2
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| 1, 5, 11, 21, 37, 63, 105, 173, 283, 461, 749, 1215, 1969, 3189, 5163, 8357, 13525, 21887, 35417, 57309, 92731, 150045, 242781, 392831, 635617, 1028453, 1664075, 2692533, 7049151, 11405769
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Index to sequences with linear recurrences with constant coefficients, signature (2,0,-1)
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FORMULA
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a(n) = A154691(n)-2 = 2*A000045(n+3)-5. [R. J. Mathar, (mathar(AT)strw.leidenuniv.nl), Oct 26 2009]
a(n) = 2*a(n-1)-a(n-3). G.f: x*(1+3*x+x^2)/((x-1)* (x^2+x-1)). [R. J. Mathar, (mathar(AT)strw.leidenuniv.nl), Oct 26 2009]
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EXAMPLE
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For n = 3, a(n) = 5+1+5=11
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CROSSREFS
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Sequence in context: A166480 A164096 A163787 this_sequence A163704 A131898 A168642
Adjacent sequences: A166860 A166861 A166862 this_sequence A166864 A166865 A166866
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KEYWORD
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easy,nonn
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AUTHOR
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Geoffrey O. Ahiakwo (obuusoltd(AT)yahoo.com), Oct 22 2009
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