A375851 Decimal expansion of the 7th root of 306.

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

Offset

1,1

Comments

Calculated to 2800 digits by R. William Gosper in a 1976 contest where this task was the problem number 9.

References

David Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, Revised edition 1987. See pp. 151-152.

Links

Table of n, a(n) for n=1..100.

Fred Gruenberger, Contest 12: Countdown, Popular Computing, Vol. 4, No. 10 (1976), p. 10.

Fred Gruenberger, Contest 12 results, Popular Computing, Vol. 5, No. 3 (1977), p. 6.

Fred Gruenberger, Gosper, Popular Computing, Vol. 5, No. 5 (1977), p. 18.

Fred Gruenberger, Computer Recreations, Scientific American, Vol. 250, No. 4 (1984), pp. 19-27.

Formula

Equals A010769*A011261*A011381. - R. J. Mathar, Sep 23 2024

Example

2.26518178629569774774567213263272411892131...

Mathematica

RealDigits[306^(1/7), 10, 100][[1]]

Prog

(PARI) sqrtn(306, 7) \\ Amiram Eldar, Sep 18 2024

Crossrefs

Cf. A010769, A011186, A011201, A011216, A011231, A011246, A011261, A011276, A011291, A011306, A011321, A011336, A011351, A011366, A011381, A011396, A011411, A011426.

Sequence in context: A204991 A054516 A062400 * A064766 A019749 A209773

Adjacent sequences: A375848 A375849 A375850 * A375853 A375854 A375855

Keyword

nonn,cons,easy,changed

Author

Stefano Spezia, Sep 15 2024

Status

approved