id:A029579 - OEIS Search Results

Search: id:A029579

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An obvious mixture of two sequences.

+0
3

1, 1, 2, 3, 3, 5, 4, 7, 5, 9, 6, 11, 7, 13, 8, 15, 9, 17, 10, 19, 11, 21, 12, 23, 13, 25, 14, 27, 15, 29, 16, 31, 17, 33, 18, 35, 19, 37, 20, 39, 21, 41, 22, 43, 23, 45, 24, 47, 25, 49, 26, 51, 27, 53, 28, 55, 29, 57, 30, 59, 31, 61, 32, 63, 33, 65, 34, 67, 35, 69, 36, 71, 37 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f.: (1+x+x^3)/(1-x^2)^2, even: a(2n) = n+1, odd: a(2n-1) = 2*n-1.` `a(n)=(3n+2)/4+(2-n)(-1)^n/4; a(n)=2a(n-2)-a(n-4). Binomial transform is A098156. - Paul Barry (pbarry(AT)wit.ie), Aug 29 2004`
	CROSSREFS	`Sequence in context: A064916 A062854 A057859 this_sequence A106647 A130157 A158745` `Adjacent sequences: A029576 A029577 A029578 this_sequence A029580 A029581 A029582`
	KEYWORD	`nonn,easy`
	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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