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A022318 a(n)=a(n-1)+a(n-2)+1. 3
1, 4, 6, 11, 18, 30, 49, 80, 130, 211, 342, 554, 897, 1452, 2350, 3803, 6154, 9958, 16113, 26072, 42186, 68259, 110446, 178706, 289153, 467860, 757014, 1224875, 1981890, 3206766, 5188657, 8395424 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..31.

Index entries for linear recurrences with constant coefficients, signature (2,0,-1).

FORMULA

a(n) = 2 A000045(n+2) + A000045(n) - 1. GF: (1+2*x-2*x^2)/((x-1)*(x^2+x-1)); a(0)=1, a(1)=4, a(2)=6, a(n)=2 a(n-1) - a(n-3) - Ron Knott, Aug 25 2006

a(n)-a(n-1) = A013655(n-1). - R. J. Mathar, May 06 2014

CROSSREFS

Cf. A122195.

Sequence in context: A060577 A197985 A058579 * A047811 A244010 A154145

Adjacent sequences:  A022315 A022316 A022317 * A022319 A022320 A022321

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified March 26 00:51 EDT 2017. Contains 284111 sequences.