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A318523 Decimal expansion of sqrt((1/5)^(1/5)+(4/5)^(1/5)). 2
1, 2, 9, 6, 5, 8, 4, 8, 0, 7, 6, 6, 5, 0, 1, 8, 3, 0, 7, 4, 9, 2, 4, 0, 1, 6, 4, 5, 8, 2, 9, 1, 3, 5, 7, 7, 7, 4, 8, 5, 1, 3, 5, 2, 1, 3, 4, 8, 5, 3, 0, 2, 2, 6, 1, 4, 2, 7, 4, 3, 1, 4, 1, 8, 0, 8, 9, 6, 1, 9, 4, 0, 5, 0, 6, 2, 0, 3, 2, 7, 7, 8, 6, 3, 6, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Ramanujan's question 1070 (i) asks for a proof of the identities

sqrt((1/5)^(1/5)+(4/5)^(1/5)) = (1+2^(1/5)+8^(1/5))^(1/5) = (16/125)^(1/5)+(8/125)^(1/5)+(2/125)^(1/5)-(1/125)^(1/5).

REFERENCES

S. Ramanujan, Coll. Papers, Chelsea, 1962, page 334, Question 1070.

LINKS

Table of n, a(n) for n=1..86.

EXAMPLE

1.296584807665018307492401645829135777485135213485302261427431418...

PROG

(PARI) sqrt((1/5)^(1/5)+(4/5)^(1/5))

CROSSREFS

Cf. A318524, A318525.

Sequence in context: A011069 A010598 A152564 * A138029 A146481 A233766

Adjacent sequences:  A318520 A318521 A318522 * A318524 A318525 A318526

KEYWORD

nonn,cons

AUTHOR

Hugo Pfoertner, Aug 28 2018

STATUS

approved

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Last modified May 25 22:17 EDT 2019. Contains 323576 sequences. (Running on oeis4.)