id:A116091 - OEIS Search Results

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Expansion of 1/sqrt(1+4x+16x^2).

+0
2

1, -2, -2, 28, -74, -92, 1324, -3656, -4826, 70228, -197372, -267896, 3921724, -11126936, -15347432, 225505648, -643622906, -897078476, 13214495764, -37869162392, -53170602284, 784672445368, -2255295815192, -3183829452272, 47051201187676, -135537088268792, -192142210448216 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Fourth binomial transform is expansion of 1/sqrt(1-4x+16x^2), A012000.`
	FORMULA	`E.g.f.: exp(-2x)Bessel_I(0,2sqrt(-3)x); a(n)=sum{k=0..n, C(n,n-k)C(n,k)(-3)^k}.`
	CROSSREFS	`Sequence in context: A121222 A125067 A012000 this_sequence A127262 A121788 A018976` `Adjacent sequences: A116088 A116089 A116090 this_sequence A116092 A116093 A116094`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Feb 04 2006`

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.

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