A098327 Recurrence sequence derived from the decimal places of sqrt(e).

0, 9, 60, 79, 59, 137, 479, 2897, 1397, 24474, 63515, 71287, 191542, 1432289, 1766633, 1380465, 2894629, 1464385, 10676561

Offset

1,2

Comments

a(20) > 5*10^7.

Links

Table of n, a(n) for n=1..19.

Formula

a(1)=0, p(i)=position of first occurrence of a(i) in decimal places of sqrt(e), a(i+1)=p(i).

Example

sqrt(e)=1.6487212707001281468...
So for example, with a(1)=0, a(2)=9 because 9th decimal place is 0; a(3)=60 because 9 appears at decimal place number 60 and so on.

Crossrefs

Other recurrence sequences: A097614 for Pi, A098266 for e, A098289 for log(2), A098290 for Zeta(3), A098319 for 1/Pi, A098320 for 1/e, A098321 for gamma, A098322 for G, A098323 for 1/G, A098324 for Golden Ratio (phi), A098325 for sqrt(Pi), A098326 for sqrt(2).

Sequence in context: A059356 A039929 A099333 * A118674 A268972 A288962

Adjacent sequences: A098324 A098325 A098326 * A098328 A098329 A098330

Keyword

more,nonn,base

Author

Mark Hudson (mrmarkhudson(AT)hotmail.com), Sep 13 2004

Status

approved