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 A071064 Numbers divisible by the sum of factorials of their digits [A061602(n)] and also terminate in the sum of factorials of their digits. 0
 1, 2, 145, 2125, 2310, 3210, 10125, 10234, 10310, 11125, 11310, 12312, 13010, 13110, 13211, 13212, 21312, 23111, 23112, 30010, 30110, 31010, 31110, 31212, 32112, 40585, 52130, 111312, 113112, 131112, 133240, 135250, 153250, 200213 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..34. EXAMPLE a(8)=10234: 1!+0!+2!+3!+4! = 34 and 10234/34 = 301. MATHEMATICA dsfQ[n_]:=Module[{f=Total[IntegerDigits[n]!]}, Divisible[n, f]&&Mod[ n, 10^IntegerLength[f]]==f]; Select[Range[201000], dsfQ] (* Harvey P. Dale, Jul 05 2019 *) CROSSREFS Cf. A061602. Sequence in context: A306955 A228507 A254499 * A265442 A014080 A182478 Adjacent sequences: A071061 A071062 A071063 * A071065 A071066 A071067 KEYWORD base,nonn AUTHOR Jason Earls, May 26 2002 STATUS approved

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Last modified May 21 15:47 EDT 2024. Contains 372738 sequences. (Running on oeis4.)