Pickover's sequence gives the first starting positions in the decimal expansion of pi, excluding the leading 3, at which the
first digits of e occur, for each positive integer
. The matched digits include
the leading 2 of
and omit its decimal point, and positions are counted
from the first fractional digit of
as position 1. So, since
, the first digit
"2" of
occurs at position 6. Continuing, the sequence is given
by 6, 28, 241, 11706, 28024, 33789, 1526800, 73154827, ... (OEIS A090898).
Conversely, the sequence of first starting positions in the decimal expansion of e,
excluding the leading 2, at which the first digits of pi
occur is obtained by including the leading 3 of
and omitting its decimal point.
Positions are counted from the first fractional digit of
as position 1. So, since
, the
first digit "3" of
occurs at position 17. Continuing, the sequence
is given by 17, 189, 856, 17947, 53238, 1436935, 5000482, ... (OEIS A115234).