id:A156590 - OEIS Search Results

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Decimal expansion of the imaginary part of the limit of f(f(...f(0)...)) where f(z)=sqrt(i+z).

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6, 2, 4, 8, 1, 0, 5, 3, 3, 8, 4, 3, 8, 2, 6, 5, 8, 6, 8, 7, 9, 6, 0, 4, 4, 4, 7, 4, 4, 2, 8, 5, 1, 4, 4, 4, 0, 0, 5, 2, 3, 4, 4, 5, 6, 4, 1, 9, 0, 0, 2, 3, 2, 7, 4, 7, 0, 1, 5, 4, 3, 1, 4, 6, 5, 3, 1, 7, 1, 0, 5, 5, 4, 3, 9, 4, 9, 6, 4, 0, 7, 0, 5, 2, 4, 5, 2, 8, 9, 1, 2, 7, 5, 5, 3, 2, 9, 5, 0, 9, 1, 7, 3, 1, 7 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The number is 0.6248105338... The real part, 1.300242590...,` `is given by A156548.`
	FORMULA	`Define z(1)=f(0)=sqrt(i), where i=sqrt(-1), and z(n)=f(z(n-1)) for n>1.` `Write the limit of z(n) as a+bi where a and b are real. Then a=(b+1)/(2b),` `where b=sqrt((sqrt(17)-1)/8).`
	CROSSREFS	`Ct. A156548.` `Sequence in context: A061496 A125115 A020831 this_sequence A135617 A019930 A123139` `Adjacent sequences: A156587 A156588 A156589 this_sequence A156591 A156592 A156593`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Feb 12 2009`

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

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