id:A131851 - OEIS Search Results

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Real part of the function z(n)=Sum(d(k)*i^k: d as in n=Sum(d(k)*2^k), i=sqrt(-1)).

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0, 1, 0, 1, -1, 0, -1, 0, 0, 1, 0, 1, -1, 0, -1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, -1, 0, -1, 0, 0, 1, 0, 1, -1, 0, -1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, -1, 0, -1, 0, -2, -1, -2, -1, -1, 0, -1, 0, -2, -1, -2, -1, 0, 1, 0, 1, -1, 0, -1, 0, 0, 1, 0, 1, -1, 0, -1, 0, -1, 0, -1, 0, -2, -1, -2, -1, -1, 0, -1, 0, -2, -1, -2 (list; graph; listen)

	OFFSET	`0,18`
	COMMENT	`A131852(n) = Im(z(n));` `z(A000079(n))=(A056594(n),A056594(n+3)); a(A000079(n))=A056594(n);` `a(A131854(n))=0; a(A131861(n))>0; a(A131859(n))=1; a(A131863(n))<0;` `z(A131853(n))=(0,0); z(A131856(n))=(0,1); z(A131858(n))=(1,0); z(A131860(n))=(1,1);` `for n>0: a(A131865(n))=n and ABS(a(m))<n for m<A131865(n).`
	LINKS	`R. Zumkeller, Table of n, a(n) for n = 0..10000`
	FORMULA	`z(n) = if n=0 then (0, 0) else z(floor(n/2))*(0, 1) + (n mod 2, 0), complex multiplication.`
	CROSSREFS	`Cf. A007088.` `Sequence in context: A082995 A079549 A070088 this_sequence A104886 A139351 A125925` `Adjacent sequences: A131848 A131849 A131850 this_sequence A131852 A131853 A131854`
	KEYWORD	`sign`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 22 2007`

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.

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