A317488 a(n) is the position of the first occurrence of n > a(n-1) after the decimal point in e = 2.71828182845904523...

2, 4, 17, 25, 29, 31, 36, 86, 107, 195, 200, 370, 687, 853, 880, 899, 961, 963, 1013, 1153, 1161, 1235, 1263, 1291, 1325, 1347, 1357, 1399, 1444, 1451, 1798, 1846, 2067, 2191, 2258, 2305, 2332, 2356, 2370, 2487, 2516, 2571, 2578, 2690, 2694, 2807, 2926, 2956, 3012

Offset

1,1

Links

Table of n, a(n) for n=1..49.

Example

Moving always to the right in the decimal expansion of e, the string "1" is found at position 2 counting from the first digit after the decimal point, the string "2" is found at position 4, the string "3" at position 17, the string "4" at position 25, etc.

Mathematica

p = ToString[FromDigits[RealDigits[N[E - 2, 2600]][[1]]]]; lst = {0}; Do[
a = StringPosition[p, ToString[n], 1][[1, 1]]; AppendTo[lst, a + lst[[-1]]];
p = StringDrop[p, a], {n, 29}]; Rest[lst]

Crossrefs

Cf. A001113, A078197, A103186, A281092.

Sequence in context: A118242 A006276 A318367 * A103051 A095018 A081356

Adjacent sequences: A317485 A317486 A317487 * A317489 A317490 A317491

Keyword

nonn,base,easy

Author

Philipp O. Tsvetkov, Jul 29 2018

Status

approved