Pickover's sequence gives the starting positions in the decimal expansion of (ignoring the leading 3) in which the
first
digits of
occur (counting the leading 2). 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, consider the sequence formed by the expansion of (ignoring the leading 2) in which the first digits of occur (counting the leading 3). 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).