id:A164587 - OEIS Search Results

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a(n) = 2*a(n - 2) for n > 2; a(1) = 1, a(2) = 8.

+0
9

1, 8, 2, 16, 4, 32, 8, 64, 16, 128, 32, 256, 64, 512, 128, 1024, 256, 2048, 512, 4096, 1024, 8192, 2048, 16384, 4096, 32768, 8192, 65536, 16384, 131072, 32768, 262144, 65536, 524288, 131072, 1048576, 262144, 2097152, 524288, 4194304, 1048576 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Interleaving of A000079 and A000079 without initial terms 1, 2, 4.` `Binomial transform is A048696. Second binomial transform is A164298.`
	FORMULA	`a(n) = (5+3(-1)^n)2^(1/4(2n-5+(-1)^n)).` `G.f.: x(1+8x)/(1-2*x^2).`
	PROGRAM	`(MAGMA) [ n le 2 select 7n-6 else 2Self(n-2): n in [1..41] ];`
	CROSSREFS	`Equals A112032 without initial term 4.` `Cf. A000079 (powers of 2), A048696, A164298.` `Sequence in context: A070487 A167623 A040063 this_sequence A050096 A161593 A008866` `Adjacent sequences: A164584 A164585 A164586 this_sequence A164588 A164589 A164590`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 17 2009`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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