id:A164906 - OEIS Search Results

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a(n) = (3*2^n-(-2)^n)/2.

+0
3

1, 4, 4, 16, 16, 64, 64, 256, 256, 1024, 1024, 4096, 4096, 16384, 16384, 65536, 65536, 262144, 262144, 1048576, 1048576, 4194304, 4194304, 16777216, 16777216, 67108864, 67108864, 268435456, 268435456, 1073741824, 1073741824, 4294967296 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Interleaving of A000302 and 4*A000302.` `Unsigned version of A141125.` `Binomial transform is A164907. Second binomial transform is A164908. Third binomial transform is A057651. Fourth binomial transform is A016129.`
	FORMULA	`a(n) = 4a(n-2) for n > 1; a(0) = 1, a(1) = 4.` `G.f.: (1+4x)/((1+2x)(1-2*x)).`
	PROGRAM	`(MAGMA) [ (3*2^n-(-2)^n)/2: n in [0..31] ];`
	CROSSREFS	`Cf. A000302 (powers of 4), A141125, A164907, A164908, A057651, A016129.` `Sequence in context: A056450 A141125 A164111 this_sequence A129884 A137725 A082649` `Adjacent sequences: A164903 A164904 A164905 this_sequence A164907 A164908 A164909`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 31 2009`

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Last modified November 23 10:40 EST 2009. Contains 167421 sequences.

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