A107467 - OEIS

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A107467

a(n)= 3*a(n-1) +a(n-2) -3*a(n-3) +a(n-4) 2*a(n-5) -a(n-6) -a(n-7).

0, 1, 1, 2, 3, 5, 8, 23, 67, 208, 635, 1943, 5940, 18169, 55579, 170024, 520127, 1591139, 4867506, 14890349, 45551563, 139348310, 426285079, 1304062953, 3989302624, 12203809169, 37333081059, 114206877712, 349374081829 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,4`
	LINKS	`Table of n, a(n) for n=0..28.`
	FORMULA	`G.f.: x(1-2x-2x^2-x^3-4x^4-7x^5)/(1-3x-x^2+3x^3-x^4-2x^5+x^6+x^7). [Sep 28 2009]`
	MATHEMATICA	`M = {{0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1}, {-1, -1, 2, 1, -3, 1, 3}} v[n_] := v[n] = M.v[n - 1] a = Table[v[n][[1]], {n, 1, digits}]`
	CROSSREFS	`Sequence in context: A178356 A042785 A136682 * A191425 A155881 A041731` `Adjacent sequences: A107464 A107465 A107466 * A107468 A107469 A107470`
	KEYWORD	`nonn,easy`
	AUTHOR	`Roger L. Bagula, May 27 2005`
	EXTENSIONS	`Definition replaced by recurrence by the Associate Editors of the OEIS, Sep 28 2009`
	STATUS	`approved`

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Last modified May 22 15:24 EDT 2013. Contains 225552 sequences.