A099202 - OEIS

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A099202

2^floor(n^2/2).

1, 1, 4, 16, 256, 4096, 262144, 16777216, 4294967296, 1099511627776, 1125899906842624, 1152921504606846976, 4722366482869645213696, 19342813113834066795298816, 316912650057057350374175801344 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	COMMENTS	`Hankel transform of A168490. Linked to elliptic curve y^2=1-12x+44x^2-48x^3 through g.f. of A168490.- Paul Barry, Nov 27 2009`
	LINKS	`Vincenzo Librandi, Table of n, a(n) for n = 0..80`
	FORMULA	`a(n) = A016116(n) * A006125(n)` `a(n) = 16a(n-2)^2 / a(n-4). - Michael Somos, Sep 16 2005` `a(n) = 4^floor(n^2/4) = 4^A002620(n). - Paul Barry, Nov 27 2009`
	PROG	`(PARI) a(n)=2^(n^2\2)` `(MAGMA) [2^Floor(n^2/2): n in [0..20]]; // Vincenzo Librandi, Aug 16 2011`
	CROSSREFS	`Sequence in context: A232840 A113905 A200045 * A139288 A152921 A215116` `Adjacent sequences: A099199 A099200 A099201 * A099203 A099204 A099205`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry, Oct 04 2004`
	STATUS	`approved`

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Last modified August 13 16:07 EDT 2022. Contains 356107 sequences. (Running on oeis4.)