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A322088
Digits of one of the two 13-adic integers sqrt(3).
10
9, 4, 6, 4, 0, 10, 11, 3, 3, 2, 11, 6, 8, 2, 6, 1, 1, 3, 7, 7, 12, 7, 10, 7, 4, 12, 4, 5, 9, 7, 9, 0, 12, 9, 2, 9, 7, 4, 11, 0, 1, 4, 5, 12, 9, 11, 8, 3, 3, 3, 11, 2, 6, 0, 10, 5, 9, 7, 11, 6, 0, 11, 11, 0, 2, 7, 6, 1, 5, 4, 0, 2, 11, 9, 7, 7, 7, 5, 1, 11, 7
OFFSET
0,1
COMMENTS
This square root of 3 in the 13-adic field ends with digit 9. The other, A322087, ends with digit 4.
FORMULA
a(n) = (A322086(n+1) - A322086(n))/13^n.
For n > 0, a(n) = 12 - A322087(n).
This 13-adic integer is the 13-adic limit as n -> oo of the integer sequence {2*T(13^n,9/2)}, where T(n,x) denotes the n-th Chebyshev polynomial. - Peter Bala, Dec 04 2022
EXAMPLE
...10B47929C097954C47A7C773116286B233BA04649.
PROG
(PARI) a(n) = truncate(-sqrt(3+O(13^(n+1))))\13^n
CROSSREFS
KEYWORD
nonn,base,easy
AUTHOR
Jianing Song, Nov 26 2018
STATUS
approved