id:A156548 - OEIS Search Results

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

+0
2

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

	OFFSET	`1,2`
	COMMENT	`The number is 1.300242590220... The imaginary part, 0.624810...,` `is given by A156590.`
	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. A156590.` `Sequence in context: A128113 A108930 A059682 this_sequence A112883 A117138 A095104` `Adjacent sequences: A156545 A156546 A156547 this_sequence A156549 A156550 A156551`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Feb 12 2009`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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