A332715 Decimal expansion of a continued fraction based on Pi truncated to n places.

3, 0, 3, 2, 2, 5, 4, 7, 5, 0, 9, 0, 2, 1, 7, 8, 0, 7, 9, 8, 7, 5, 6, 5, 1, 1, 0, 8, 7, 8, 1, 1, 8, 3, 1, 4, 1, 1, 5, 2, 7, 2, 4, 3, 8, 9, 6, 8, 0, 3, 0, 1, 6, 4, 3, 9, 7, 9, 6, 3, 6, 7, 3, 9, 4, 6, 4, 0, 9, 4, 7, 2, 5, 3, 4, 4, 0, 2, 5, 9, 9, 7, 6, 3, 4, 8, 8, 6, 3, 9, 4, 3, 6, 4, 8, 6, 0, 6, 6, 9, 3, 2, 3, 5, 3, 1, 3, 7, 7, 6, 0, 5, 7, 4

Offset

1,1

Comments

After a few terms 3.14115... appears in the constant, which is almost Pi.

Links

Table of n, a(n) for n=1..114.

Formula

A011545(1) + 1/(A011545(2) + 1/(A011545(3) + 1/...)).

Example

3 + 1/(31 + 1/(314 + 1/(3141...)))
= 3.032254750902178079875651108781183141152724389680301643979636739...

Crossrefs

Cf. A000796, A011545, A094964.

Sequence in context: A309722 A070298 A024938 * A219107 A338498 A221166

Adjacent sequences: A332712 A332713 A332714 * A332716 A332717 A332718

Keyword

nonn,cons,easy,base

Author

Eder Vanzei, Feb 20 2020

Status

approved