cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A261556 Numbers that divide the sum of the product of the factorials of their digits and the sum of the factorials of their digits.

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%I A261556 #39 Aug 19 2019 08:17:31
%S A261556 1,2,3,4,5,6,7,8,9,13,17,54,86,573,768,999,6143,94584,159287,27167549,
%T A261556 40548073,72382636,131092614,340720926,1161216721,2955383683,
%U A261556 3892089702,5304046976,6554754648,72338498624,279445396448,331043595868,466026097373,962499474063,3082891291712
%N A261556 Numbers that divide the sum of the product of the factorials of their digits and the sum of the factorials of their digits.
%e A261556 54 is in the list because 5! = 120, 4! = 24,  120*24=2880, 120+24=144, 2880+144=3024, 3024/54=56.
%t A261556 fQ[n_] := Block[{d = IntegerDigits[n]!}, Mod[Times @@ d + Total@ d, n] == 0]; Select[Range@ 1000000, fQ] (* _Michael De Vlieger_, Aug 26 2015 *)
%o A261556 (PARI) isok(n) = my(d = digits(n)); ((sum(k=1,#d, d[k]!)+prod(k=1,#d, d[k]!)) % n) == 0; \\ _Michel Marcus_, Aug 25 2015
%Y A261556 Cf. A197181, A247227.
%K A261556 nonn,base
%O A261556 1,2
%A A261556 _Paolo Omodei-Zorini_, Aug 24 2015
%E A261556 a(24)-a(25) from _Jon E. Schoenfield_, Aug 24 2015
%E A261556 a(26)-a(30) from _Giovanni Resta_, Aug 26 2015
%E A261556 a(31)-a(34) from _Chai Wah Wu_, May 04 2019
%E A261556 a(35) from _Giovanni Resta_, Aug 19 2019