id:A130496 - OEIS Search Results

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Repetition of even numbers, with initial zeros, five times.

+0
1

0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 14, 14, 14, 14, 14, 16, 16, 16, 16, 16, 18, 18, 18, 18, 18, 20, 20, 20, 20, 20, 22, 22, 22, 22, 22, 24, 24, 24, 24, 24, 26, 26, 26, 26, 26, 28, 28, 28, 28, 28, 30, 30, 30 (list; graph; listen)

	OFFSET	`0,6`
	FORMULA	`a(n)= -2 + 2Sum_{k=0..n} {[8(sin(2Pik/5))^2-5]^2-5}/20, with n>=0. a(n)= -2 + 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:=-2+2sum('(8(sin(2Pik/5))^2-5)^2-5', 'k'=0..i)/20; print(j); od; end: P(100);`
	CROSSREFS	`Cf. A122461.` `Sequence in context: A064133 A160675 A105674 this_sequence A001299 A001300 A001306` `Adjacent sequences: A130493 A130494 A130495 this_sequence A130497 A130498 A130499`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), May 31 2007`

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.

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