id:A084178 - OEIS Search Results

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Inverse binomial transform of Fibonacci oblongs.

+0
2

0, 1, 0, 3, -1, 10, -7, 35, -36, 127, -165, 474, -715, 1807, -3004, 6995, -12393, 27370, -50559, 107883, -204820, 427351, -826045, 1698458, -3321891, 6765175, -13333932, 26985675, -53457121, 107746282, -214146295, 430470899, -857417220, 1720537327, -3431847189 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`Inverse binomial transform of A001654.`
	FORMULA	`a(n)=((1/2+sqrt(5)/2)^(n+1)+(1/2-sqrt(5)/2)^(n+1)-(-2)^n)/5; G.f.: x(1+x)/(1+x-3x^2-2x^3)=x(1-x)/((1+2x)(1-x-x^2)).`
	CROSSREFS	`Cf. A000045, A052964, A084179.` `Sequence in context: A046658 A124574 A052964 this_sequence A068438 A064060 A134991` `Adjacent sequences: A084175 A084176 A084177 this_sequence A084179 A084180 A084181`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 18 2003`

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.

AT&T Labs Research