id:A006668 - OEIS Search Results

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Exponential self-convolution of Pell numbers (divided by 2).

+0
3

0, 0, 1, 6, 32, 160, 784, 3808, 18432, 89088, 430336, 2078208, 10035200, 48455680, 233967616, 1129701376, 5454692352, 26337607680, 127169265664, 614027624448, 2964787822592, 14315262312448, 69120201588736 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`Binomial transform of A084150. - Paul Barry (pbarry(AT)wit.ie), May 16 2003`
	FORMULA	`a(n)=((2+sqrt(8))^n+(2-sqrt(8))^n-2^(n+1))/16; E.g.f. : exp(2x)(sinh(sqrt(2)x))^2/4=(exp(x)sinh(sqrt(2)x)/sqrt(2))^2/2. - Paul Barry (pbarry(AT)wit.ie), May 16 2003`
	CROSSREFS	`Cf. A006646.` `Sequence in context: A027217 A121333 A046725 this_sequence A037530 A083320 A097139` `Adjacent sequences: A006665 A006666 A006667 this_sequence A006669 A006670 A006671`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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