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A022406 a(n)=a(n-1)+a(n-2)+1. +0
2
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 (list; graph; listen)
OFFSET

0,1

FORMULA

a(n) = 4 A000045(n+2) - 1 - Ron Knott (enquiry(AT)ronknott.com), Aug 25 2006

a(n)=A0022403(n+1). O.g.f.: (3+x-3x^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

a(n)=A022403(n+1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 25 2008]

CROSSREFS

Cf. A122195.

Sequence in context: A158722 A123080 A161387 this_sequence A132447 A132449 A132453

Adjacent sequences: A022403 A022404 A022405 this_sequence A022407 A022408 A022409

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified March 11 00:12 EST 2010. Contains 173097 sequences.


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