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A058299
Sum of terms in simple continued fraction for Sum_{k=0..n} 1/k!.
2
1, 2, 4, 5, 10, 15, 20, 16, 38, 30, 67, 49, 63, 80, 92, 139, 173, 99, 127, 159, 190, 198, 423, 198, 259, 221, 326, 631, 394, 273, 280, 341, 359, 397, 539, 418, 518, 533, 662, 3502, 735, 815, 701, 706, 611, 839, 793, 768, 781, 983, 858, 1035, 883, 3476, 1154
OFFSET
0,2
LINKS
EXAMPLE
a(3) = 2 + 1 + 2 = 5 because 1/0! + 1/1! + 1/2! + 1/3! = 8/3 = 2 + 1/(1 + 1/2).
MAPLE
seq(convert(numtheory:-cfrac(add(1/k!, k=0..n), quotients), `+`), n=0..100); # Robert Israel, Aug 29 2018
PROG
(PARI) a(n) = vecsum(contfrac(sum(k=0, n, 1/k!))); \\ Michel Marcus, Aug 29 2018
CROSSREFS
Cf. A069880 (number of summands).
Sequence in context: A272622 A097133 A023165 * A191616 A319909 A276281
KEYWORD
easy,nonn,look
AUTHOR
Leroy Quet, Dec 07 2000
STATUS
approved