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A214285
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List of amicable sums-of-factorial-of-digits pairs (A,B): A equals the sum of the factorials of B's digits in base 10, and vice versa.
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5
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OFFSET
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1,1
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COMMENTS
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Number pairs (A,B), A <> B, such that A061602(A)=B and A061602(B)=A, indicating where the mapping of A to the sum of the factorials of its digits has a cycle of length 2.
Peter Kiss (1977) showed there are no further terms. - _N. J. A. Sloane_, Mar 17 2019
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REFERENCES
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P. Kiss, A generalization of a problem in number theory, Math. Sem. Notes Kobe Univ., 5 (1977), no. 3, 313-317. MR 0472667 (57 #12362).
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LINKS
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Jaeyool Park, Blog [in Korean].
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EXAMPLE
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8! + 7! + 1! = 45361, 4! + 5! + 3! + 6! + 1! = 871.
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CROSSREFS
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KEYWORD
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nonn,base,tabf,fini,full
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AUTHOR
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_Jaeyool Park_, Jul 10 2012
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STATUS
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approved
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