id:A116093 - OEIS Search Results

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Expansion of 1/sqrt(1+4x+12x^2).

+0
2

1, -2, 0, 16, -56, 48, 384, -1920, 3168, 8512, -66560, 161280, 113920, -2224640, 7311360, -3354624, -69253632, 306754560, -408059904, -1898029056, 12054196224, -25377005568, -38874316800, 443400781824, -1289598418944, -52751204352, 15086928789504, -58620595404800 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Fourth binomial transform the expansion of 1/sqrt(1-4x+12x^2), A098336.`
	FORMULA	`E.g.f.: exp(-2x)Bessel_I(0,2sqrt(-2)x); a(n)=sum{k=0..floor(n/2), binomial(n,k)*binomial(n-k,k)(-2)^(n-k)}.`
	CROSSREFS	`Sequence in context: A009246 A012414 A098336 this_sequence A012409 A012661 A009528` `Adjacent sequences: A116090 A116091 A116092 this_sequence A116094 A116095 A116096`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Feb 04 2006`

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Last modified September 6 09:40 EDT 2008. Contains 143480 sequences.

AT&T Labs Research