A070267 Maximum element in the simple continued fraction expansion of e(n) = 1+1/2!+1/3!+...+1/n!.

1, 2, 2, 3, 8, 5, 4, 14, 6, 29, 10, 16, 20, 18, 42, 59, 13, 14, 59, 35, 31, 184, 24, 65, 42, 64, 401, 71, 26, 24, 36, 31, 52, 187, 28, 41, 128, 177, 3041, 249, 315, 162, 118, 36, 101, 135, 86, 70, 194, 104, 274, 62, 2515, 305, 68, 59, 49, 88, 359, 280, 100, 702, 52

Offset

1,2

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Example

The simple continued fraction expansion of e(10) is [1, 1, 2, 1, 1, 4, 1, 1, 6, 1, 1, 11, 1, 1, 29, 1, 1, 2], hence a(10) = 29.

Mathematica

Table[ Max[ ContinuedFraction[ Sum[1/i!, {i, 1, n}]]], {n, 1, 65}]

Crossrefs

Cf. A061354, A061355, A069880, A070266.

Sequence in context: A100551 A267667 A210190 * A205374 A056762 A213329

Adjacent sequences: A070264 A070265 A070266 * A070268 A070269 A070270

Keyword

easy,nonn

Author

Benoit Cloitre, May 09 2002

Status

approved