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A022406
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a(0)=3, a(1)=7; thereafter a(n)=a(n-1)+a(n-2)+1.
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2
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3, 7, 11, 19, 31, 51, 83, 135, 219, 355, 575, 931, 1507, 2439, 3947, 6387, 10335, 16723, 27059, 43783, 70843, 114627, 185471, 300099, 485571, 785671, 1271243, 2056915, 3328159, 5385075, 8713235, 14098311, 22811547, 36909859, 59721407, 96631267, 156352675
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (2,0,-1).
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FORMULA
| a(n) = 4*A000045(n+2)-1. - Ron Knott (enquiry(AT)ronknott.com), Aug 25 2006
a(n)=A022403(n+1). O.g.f.: (3+x-3*x^2)/((1-x)*(1-x-x^2)). a(n+1)-a(n)=A022087(n+1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 28 2008
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MATHEMATICA
| Table[4*Fibonacci[n + 2] - 1, {n, 0, 100}] (* From Vladimir Joseph Stephan Orlovsky, Jun 28 2011 *)
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CROSSREFS
| Cf. A122195. See A022403 for a very similar sequence.
Sequence in context: A158722 A123080 A161387 * A132447 A132449 A132453
Adjacent sequences: A022403 A022404 A022405 * A022407 A022408 A022409
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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