A022403 - OEIS

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A022403

a(0)=a(1)=3; thereafter a(n)=a(n-1)+a(n-2)+1.

3, 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; refs; listen; history; internal format)

	OFFSET	`0,1`
	LINKS	`Index to sequences with linear recurrences with constant coefficients, signature (2,0,-1)`
	FORMULA	`a(n+1)-a(n) = A022087(n). G.f. ( 3-3x+x^2 ) / ( (x-1)(x^2+x-1) ). - R. J. Mathar, Mar 11 2011`
	MATHEMATICA	`Table[4Fibonacci[n+1] -1, {n, 0, 31}] (From Vladimir Joseph Stephan Orlovsky, Apr 03 2011*)`
	CROSSREFS	`See A022406 for a similar sequence.` `Sequence in context: A013915 A136445 A052989 * A082550 A036056 A161815` `Adjacent sequences: A022400 A022401 A022402 * A022404 A022405 A022406`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.