id:A097062 - OEIS Search Results

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Interleave 2n+1 and 2n-1.

+0
4

1, -1, 3, 1, 5, 3, 7, 5, 9, 7, 11, 9, 13, 11, 15, 13, 17, 15, 19, 17, 21, 19, 23, 21, 25, 23, 27, 25, 29, 27, 31, 29, 33, 31, 35, 33, 37, 35, 39, 37, 41, 39, 43, 41, 45, 43, 47, 45, 49, 47, 51, 49, 53, 51, 55, 53, 57, 55, 59, 57, 61, 59, 63, 61, 65, 63, 67, 65, 69, 67, 71, 69, 73, 71, 75, 73, 77, 75, 79, 77, 81, 79, 83, 81, 85, 83, 87, 85 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Partial sums are A097063, whose pairwise sums are A002061. Binomial transform is A097064.` `Except the terms (1,-1), a(n)=2n-a(n-1), (with a(1)=3). Example: n=2, a(2)=22-3=1; n=3, a(3)=23-1=5; n=4, a(4)=24-5=3 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 16 2009]`
	FORMULA	`G.f. : (1-2x+3x^2)/((1-x^2)(1-x)); a(n)=(2n-1)/2+3(-1)^n/2.`
	CROSSREFS	`Sequence in context: A136655 A060819 A089654 this_sequence A077881 A129095 A105604` `Adjacent sequences: A097059 A097060 A097061 this_sequence A097063 A097064 A097065`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jul 22 2004`

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.

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