id:A055792 - OEIS Search Results

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a(n) and floor[a(n)/2] are both squares; i.e. squares which remain squares when written in base 2 and last digit is removed.

+0
3

0, 1, 9, 289, 9801, 332929, 11309769, 384199201, 13051463049, 443365544449, 15061377048201, 511643454094369, 17380816062160329, 590436102659356801, 20057446674355970889, 681362750825443653409, 23146276081390728245001 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`a(n) = 34a(n-1)-a(n-2)-16 = A001541(n-1)^2 = 2A001542(n-1)^2+1 = 8A001110(n-1)+1`
	EXAMPLE	`a(2) = 9 because 9 = 3^2 = 1001 base 2 and 100 base 2 = 4 = 2^2`
	CROSSREFS	`Cf. A023110.` `Sequence in context: A110553 A118893 A078326 this_sequence A053935 A086699 A027834` `Adjacent sequences: A055789 A055790 A055791 this_sequence A055793 A055794 A055795`
	KEYWORD	`base,nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Jul 14 2000`

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.

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