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A332715
Decimal expansion of a continued fraction based on Pi truncated to n places.
0
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.
FORMULA
A011545(1) + 1/(A011545(2) + 1/(A011545(3) + 1/...)).
EXAMPLE
3 + 1/(31 + 1/(314 + 1/(3141...)))
= 3.032254750902178079875651108781183141152724389680301643979636739...
CROSSREFS
KEYWORD
nonn,cons,easy,base
AUTHOR
Eder Vanzei, Feb 20 2020
STATUS
approved