id:A101689 - OEIS Search Results

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Decimal expansion of the unique real number x whose Engel expansion is the Fibonacci sequence.

+0
4

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

	OFFSET	`1,1`
	FORMULA	`x = Sum_{n >= 1} 1/(Product_{1 <= i <= n} F(i)), where F(i) is the i-th Fibonacci number.`
	EXAMPLE	`x = 2.704502899154067487197548966181879785177834831360628169216147179705797432773382773003734893246475812...`
	MATHEMATICA	`N[Sum[1/Product[Fibonacci[i], {i, n}], {n, 300}], 100]`
	CROSSREFS	`Cf. A000045.` `Sequence in context: A111953 A152779 A021041 this_sequence A019667 A098198 A021791` `Adjacent sequences: A101686 A101687 A101688 this_sequence A101690 A101691 A101692`
	KEYWORD	`cons,nonn`
	AUTHOR	`Ryan Propper (rpropper(AT)stanford.edu), Dec 11 2004`

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.

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