A020957 - OEIS

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A020957

Sum of [ 2*tau^(n-k) ] for k from 1 to infinity.

3, 6, 11, 19, 32, 54, 89, 147, 240, 392, 637, 1035, 1678, 2720, 4405, 7133, 11546, 18688, 30243, 48941, 79194, 128146, 207351, 335509, 542872, 878394, 1421279, 2299687 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	REFERENCES	`C. Kimberling, Problem 10520 in Amer. Math. Mon. 103 (1996) p. 347.`
	FORMULA	`(1/4) [8*Lucas(n+1) - 2n - 5 + (-1)^n]. G.f.: x(x^5+x^4-4x^2+3)/[(1-x)(1-x^2)(1-x-x^2)].`
	CROSSREFS	`Sequence in context: A183088 A116557 A001911 * A179006 A191696 A180086` `Adjacent sequences: A020954 A020955 A020956 * A020958 A020959 A020960`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu)`

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Last modified February 14 22:36 EST 2012. Contains 205678 sequences.