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A057873 a(1) = 1; a(n+1) = sum of terms in continued fraction for sum{k=1 to n}[a(n+1-k)/a(k)]. 0
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; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..33.

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: A299145 A122025 A236414 * A116699 A290198 A282153

Adjacent sequences:  A057870 A057871 A057872 * A057874 A057875 A057876

KEYWORD

easy,nonn

AUTHOR

Leroy Quet, Nov 19 2000

STATUS

approved

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Last modified August 22 11:34 EDT 2019. Contains 326176 sequences. (Running on oeis4.)