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A147882
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Positive integers k that are balanced, meaning that if k has d digits, then its initial ceiling(d/2) digits have the same sum as its last ceiling(d/2) digits.
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1
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1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 333, 343, 353, 363, 373, 383, 393, 404, 414, 424, 434, 444, 454, 464, 474, 484, 494
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OFFSET
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1,2
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COMMENTS
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Differs from A110751 in cases like n=1010, 1089, 1102, 1120, 1203, 1212, 1230, etc. - R. J. Mathar, Dec 13 2008
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LINKS
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EXAMPLE
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353 is a term as it has k = 3 digits and so we see that the sum of the first ceiling(k/2) = ceiling(3/2) = 2 and the last ceiling(k/2) = ceiling(3/2) = 2 are equal and indeed 3 + 5 = 5 + 3.
13922 is a term as it has k = 5 digits and so we see that the sum of the first ceiling(k/2) = ceiling(5/2) = 2 and the last ceiling(k/2) = ceiling(5/2) = 2 are equal and indeed 1 + 3 + 9 = 9 + 2 + 2. (End)
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PROG
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(PARI) is(n) = {my(d = digits(n), qdp1 = #d + 1); sum(i = 1, #d\2, d[i]-d[qdp1 - i]) == 0} \\ David A. Corneth, Sep 28 2023
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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Jason Tarver (scottarver(AT)gmail.com), Nov 17 2008
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EXTENSIONS
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STATUS
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approved
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