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Search: id:A071242
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| A071242 |
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Arithmetic mean of n and R(n) where n is a number such that the least significant digit and the most significant digits are of same parity and R(n) is its digit reversal (A004086). |
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+0
3
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 11, 22, 33, 44, 55, 22, 33, 44, 55, 66, 22, 33, 44, 55, 66, 33, 44, 55, 66, 77, 33, 44, 55, 66, 77, 44, 55, 66, 77, 88, 44, 55, 66, 77, 88, 55, 66, 77, 88, 99, 101, 202, 303, 404, 505, 111, 212, 313, 414, 515, 121
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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{n + R(n)}/2 for all n which yield integers.
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MAPLE
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reversal := proc(n) local i, len, new, temp: new := 0: temp := n: len := floor(log[10](n+.1))+1: for i from 1 to len do new := new+irem(temp, 10)*10^(len-i): temp := floor(temp/10): od: RETURN(new): end: for n from 0 to 500 do if type((n+reversal(n))/2, integer) then printf(`%d, `, (n+reversal(n))/2) fi: od:
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CROSSREFS
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Cf. A071240, A071241.
Sequence in context: A122875 A080716 A166461 this_sequence A141033 A044959 A044821
Adjacent sequences: A071239 A071240 A071241 this_sequence A071243 A071244 A071245
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 20 2002
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EXTENSIONS
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More terms and Maple code from James A. Sellers (sellersj(AT)math.psu.edu), May 28, 2002
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