A308259 a(n) is equal to the sum of the factorials of the digits of a(n-1), initial term is 3.
3, 6, 720, 5043, 151, 122, 5, 120, 4, 24, 26, 722, 5044, 169, 363601, 1454, 169, 363601, 1454, 169, 363601, 1454, 169, 363601, 1454, 169, 363601, 1454, 169, 363601, 1454, 169, 363601, 1454, 169, 363601, 1454, 169, 363601, 1454, 169, 363601, 1454, 169, 363601
Offset: 1
Examples
a(5) = 151, so a(6) = 1! + 5! + 1! = 1 + 120 + 1 = 122.
Links
- Shoei Takahashi, Unchone Lee, Hikaru Manabe, Aoi Murakami, Daisuke Minematsu, Kou Omori, and Ryohei Miyadera, Curious Properties of Iterative Sequences, arXiv:2308.06691 [math.GM], 2023.
Programs
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Mathematica
NestList[Total@ Map[Factorial, IntegerDigits[#]] &, 3, 36] (* Michael De Vlieger, Aug 21 2023 *)
Comments