id:A090458 - OEIS Search Results

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Decimal expansion of solution to n/x = x-n for n = 3.

+0
2

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

	OFFSET	`1,1`
	COMMENT	`n/x = x-n with n=1 gives the Golden Ratio = 1.6180339887...`
	FORMULA	`n/x = x-n ==> x^2 - nx - n = 0 ==> x = (n + sqrt(n^2 + 4n)) / 2 (Positive Root) n = 3: x = (3 + sqrt(21))/2 = 3.79128784747792...`
	CROSSREFS	`Of the same type as this: A090388 (n=2), A090488 (n=4), A090550 (n=5), A092294 (n=6), A092290 (n=7), A090654 (n=8), A090655 (n=9), A090656 (n=10).` `Cf. A001622 (golden ratio), A002193 (sqrt(2)), A010464 (sqrt(6)), A010472 (sqrt(15)), A010490 (sqrt(35)).` `Sequence in context: A105756 A152057 A101366 this_sequence A131712 A072845 A021729` `Adjacent sequences: A090455 A090456 A090457 this_sequence A090459 A090460 A090461`
	KEYWORD	`easy,nonn,cons`
	AUTHOR	`Felix Tubiana (fat2(AT)columbia.edu), Feb 05 2004`
	EXTENSIONS	`Additional comments from Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 02 2004`

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.

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