id:A057873 - OEIS Search Results

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a(1) = 1; a(n+1) = sum of terms in continued fraction for sum{k=1 to n}[a(n+1-k)/a(k)].

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1, 1, 2, 5, 13, 29, 149, 217, 449, 855, 1578, 2834, 5445, 9425, 17054, 30095, 53610, 94905, 170505, 300335, 532606, 942870, 1669907, 2957734, 5236935, 9271871, 16416945, 29066281, 51463071, 91587523, 161792680, 286563514, 507342270 (list; graph; listen)

	OFFSET	`1,3`
	LINKS	`Leroy Quet, Home Page (listed in lieu of email address)`
	EXAMPLE	`Sum{k=1 to 4}[a(5-k)/a(k)] = 5/1 +2/1 +1/2 +1/5 = 77/10 =7 +1/(1 +1/(2 +1/3)). So a(5) = 7 +1 +2 +3 = 13.`
	CROSSREFS	`Sequence in context: A091270 A045703 A122025 this_sequence A116699 A054127 A018012` `Adjacent sequences: A057870 A057871 A057872 this_sequence A057874 A057875 A057876`
	KEYWORD	`easy,nonn`
	AUTHOR	`Leroy Quet Nov 19 2000`

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

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