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Search: id:A111733
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| A111733 |
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a(n) = a(n-1) + a(n-2) + 7 where a(0) = a(1) = 1. |
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1
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| 1, 1, 9, 17, 33, 57, 97, 161, 265, 433, 705, 1145, 1857, 3009, 4873, 7889, 12769, 20665, 33441, 54113, 87561, 141681, 229249, 370937, 600193, 971137, 1571337, 2542481, 4113825, 6656313, 10770145, 17426465, 28196617, 45623089, 73819713, 119442809
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OFFSET
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0,3
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FORMULA
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G.f.: (1-x+7*x^2)/((x-1)*(x^2+x-1)). a(n)=8*A000045(n+1)-7 = 2*a(n-1)-a(n-3). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 08 2009]
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EXAMPLE
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a(2) = a(0) + a(1) + 7 = 1 + 1 + 7 = 9, which is the third term in the sequence.
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MATHEMATICA
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a[0] := 1; a[1] := 1; a[n_] := a[n - 1] + a[n - 2] + 7; Table[a[n], {n, 0, 30}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 10 2006
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CROSSREFS
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Sequence in context: A014004 A090994 A164887 this_sequence A127193 A146236 A147279
Adjacent sequences: A111730 A111731 A111732 this_sequence A111734 A111735 A111736
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KEYWORD
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nonn
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AUTHOR
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Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Nov 18 2005
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EXTENSIONS
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More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 10 2006
More terms from Brian Lauer (bel136(AT)psu.edu), Apr 05 2006
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