id:A130497 - OEIS Search Results

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Repetition of odd numbers five times.

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1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 13, 13, 13, 13, 13, 15, 15, 15, 15, 15, 17, 17, 17, 17, 17, 19, 19, 19, 19, 19, 21, 21, 21, 21, 21, 23, 23, 23, 23, 23, 25, 25, 25, 25, 25, 27, 27, 27, 27, 27, 29, 29, 29, 29, 29, 31, 31, 31 (list; graph; listen)

	OFFSET	`0,6`
	FORMULA	`a(n)= -1 + 2Sum_{k=0..n} {[8(sin(2Pik/5))^2-5]^2-5}/20, with n>=0. a(n)= -1 + 2Sum_{k=0..n} 1/50{-9[k mod 5]+[(n+1) mod 5]+[(n+2) mod 5]+[(n+3) mod 5]+11[(n+4) mod 5]}, with n>=0.`
	MAPLE	`P:=proc(n) local i, j, k; for i from 0 by 1 to n do j:=-1+2sum('(8(sin(2Pik/5))^2-5)^2-5', 'k'=0..i)/20 ; print(j); od; end: P(100);`
	CROSSREFS	`Cf. A129756.` `Sequence in context: A112593 A113215 A105591 this_sequence A126715 A105121 A092282` `Adjacent sequences: A130494 A130495 A130496 this_sequence A130498 A130499 A130500`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), May 31 2007`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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