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A045876
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Sum of different permutations of digits of n (leading 0's allowed).
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2
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1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 33, 44, 55, 66, 77, 88, 99, 110, 22, 33, 22, 55, 66, 77, 88, 99, 110, 121, 33, 44, 55, 33, 77, 88, 99, 110, 121, 132, 44, 55, 66, 77, 44, 99, 110, 121, 132, 143, 55, 66, 77, 88, 99, 55, 121, 132, 143, 154, 66, 77, 88, 99, 110, 121, 66, 143
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Let the arithmetic mean of the digits of a 'D' digit number n be 'A', Let 'N' = number of distinct numbers that can be formed by permuting the digits of n and let 'I' = concatenation of 1 'D' times =(10^D-1)/9. then a(n) = A*N*I. E.g. Let n = 324541 then A= (3+2+4+5+4+1)/6 =19/6. N = 6!/(2!) = 60. I = 111111 a(n) = A*N*I = (19/6)*(60)*(111111) = 21111090. - Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 14 2003
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REFERENCES
| Amarnath Murthy, An interesting result in combinatorics., Mathematics & Informatics Quarterly, Vol. 3, 1999, Bulgaria.
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LINKS
| A. Dunigan AtLee, Table of n, a(n) for n=1,...,100000.
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CROSSREFS
| Same beginning as A033865. Cf. A061147.
Sequence in context: A123241 A033862 A082273 * A033865 A118764 A057717
Adjacent sequences: A045873 A045874 A045875 * A045877 A045878 A045879
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KEYWORD
| easy,nonn,base
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AUTHOR
| Erich Friedman (erich.friedman(AT)stetson.edu)
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