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 A091131 Decimal expansion of e - 1. 6
 1, 7, 1, 8, 2, 8, 1, 8, 2, 8, 4, 5, 9, 0, 4, 5, 2, 3, 5, 3, 6, 0, 2, 8, 7, 4, 7, 1, 3, 5, 2, 6, 6, 2, 4, 9, 7, 7, 5, 7, 2, 4, 7, 0, 9, 3, 6, 9, 9, 9, 5, 9, 5, 7, 4, 9, 6, 6, 9, 6, 7, 6, 2, 7, 7, 2, 4, 0, 7, 6, 6, 3, 0, 3, 5, 3, 5, 4, 7, 5, 9, 4, 5, 7, 1, 3, 8, 2, 1, 7, 8, 5, 2, 5, 1, 6, 6, 4, 2, 7, 4, 2 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Average length of the first increasing run in a random permutation of n integers as n->Infinity. Engel expansion of number e - 1 is sequence of natural numbers (A000027). - Jaroslav Krizek, Jan 23 2014 LINKS Eric Weisstein's World of Mathematics, Permutation FORMULA Sum_{k >= 1} 1/k!. - Eric Desbiaux, Mar 21 2009 Equals Sum_{k>=1} H(k)*(k-1)/k!, where H(k) = A001008(k)/A002805(k) is the k-th harmonic number. - Amiram Eldar, Aug 19 2020 EXAMPLE e - 1 = 1.71828182... MATHEMATICA RealDigits[N[E - 1, 105]][[1]] PROG (PARI) exp(1) - 1 \\ Michel Marcus, Aug 07 2019 CROSSREFS Cf. A001113. - R. J. Mathar, Sep 08 2008 Cf. A001008, A002805. Sequence in context: A138616 A021937 A021586 * A249279 A145963 A199439 Adjacent sequences:  A091128 A091129 A091130 * A091132 A091133 A091134 KEYWORD nonn,cons,easy AUTHOR Eric W. Weisstein, Dec 19 2003 STATUS approved

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Last modified October 23 05:07 EDT 2020. Contains 337962 sequences. (Running on oeis4.)