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A010780
Decimal expansion of 18th root of 2.
1
1, 0, 3, 9, 2, 5, 9, 2, 2, 6, 0, 3, 1, 8, 4, 3, 3, 9, 9, 7, 1, 0, 1, 3, 0, 0, 8, 3, 1, 6, 7, 2, 8, 5, 6, 3, 7, 3, 9, 1, 4, 8, 5, 5, 7, 0, 9, 2, 0, 3, 0, 8, 5, 4, 3, 1, 6, 5, 3, 1, 6, 6, 6, 2, 5, 7, 1, 5, 0, 6, 1, 4, 6, 0, 6, 4, 8, 3, 0, 0, 8, 1, 5, 6, 6, 2, 2, 2, 6, 8, 7, 9, 7, 3, 1, 8, 1, 7, 7
OFFSET
1,3
FORMULA
Equals Product_{k>=0} (1 + (-1)^k/(18*k + 17)). - Amiram Eldar, Aug 01 2020
MATHEMATICA
RealDigits[Power[2, (18)^-1], 10, 120][[1]] (* Harvey P. Dale, Jul 14 2011 *)
PROG
(PARI) sqrtn(2, 18) \\ Charles R Greathouse IV, Apr 15 2014
CROSSREFS
Cf. k-th root of 2: A002193 (k=2), A002580 (k=3), A010767 (k=4), A005531 (k=5), A010768-A010782 (k=6-20).
Sequence in context: A201664 A103824 A155080 * A309275 A179655 A357472
KEYWORD
nonn,cons,changed
STATUS
approved