id:A105385 - OEIS Search Results

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Expansion of (1-x^2)/(1-x^5).

+0
1

1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1, 0, -1, 0, 0, 1 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Binomial transform is A103311(n+1). Consecutive pair sums of A105384. Periodic {1,0,-1,0,0}.`
	FORMULA	`G.f.: (1+x)/(1+x+x^2+x^3+x^4); a(n)=sqrt(1/5-2sqrt(5)/25)cos(4pin/5+pi/10)+sqrt(5)sin(4pin/5+pi/10)/5+ sqrt(2sqrt(5)/25+1/5)cos(2pin/5+3pi/10)+sqrt(5)sin(2pin/5+3pi/10)/5` `a(n)=-(1/5)*{[n mod 5]+[(n+2) mod 5]-[(n+3) mod 5]-[(n+4) mod 5]}, with n>=0. - Paolo P. Lava (ppl(AT)spl.at), Jun 01 2007` `a(n)=A092202(n+1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 28 2008]`
	CROSSREFS	`Sequence in context: A127829 A127831 A164364 this_sequence A090626 A129569 A030658` `Adjacent sequences: A105382 A105383 A105384 this_sequence A105386 A105387 A105388`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 02 2005`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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