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.

A101697 Numbers n such that phi(n) is equal to d_1!+d_2!+...+d_k!, where d_1 d_2 ... d_k is the decimal expansion of n.

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%I A101697 #7 Mar 19 2025 10:26:12
%S A101697 1,67585,84466,854696
%N A101697 Numbers n such that phi(n) is equal to d_1!+d_2!+...+d_k!, where d_1 d_2 ... d_k is the decimal expansion of n.
%H A101697 Shyam Sunder Gupta, <a href="https://doi.org/10.1007/978-981-97-2465-9_16">Fascinating Factorials</a>, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 16, 411-442.
%e A101697 854696 is in the sequence because phi(854696)=8!+5!+4!+6!+9!+6!.
%t A101697 Do[h = IntegerDigits[n]; l = Length[h]; If[EulerPhi[n] == Sum[h[[k]]!, {k, l}], Print[n]], {n, 10000000}]
%Y A101697 Cf. A100416.
%K A101697 base,fini,full,nonn
%O A101697 1,2
%A A101697 _Farideh Firoozbakht_, Dec 12 2004