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.
%I A175422 #17 Feb 25 2024 10:21:33 %S A175422 0,1,2,3,4,5,6,7,8,9,0,1,2,3,4,5,6,7,8,9,0,1,4,9,6,25,36,1,1,1,0,1,8, %T A175422 6561,1,25,216,1,8,1,0,1,6,1,1,1,1,1,1,1,0,1,8,1,1, %U A175422 867361737988403547205962240695953369140625,1,1,1,1,0,1,1,1,1,1,1,1,1,1 %N A175422 Sequence of numbers after 3rd step of iteration defined in A175419. %e A175422 For n = 33: a(33) = 6561 because for the number 33 there are 4 steps of defined iteration: {3^3 = 27}, {7^2 = 49}, {9^4 = 6561}, {((1^6)^5)^6 = 1} and the 3rd step of the iteration ends with 6561. %p A175422 A175420 := proc(n) option remember; local dgs,a,i ; if n = 0 then return 0 ; end if; dgs := convert(n,base,10) ; a := op(1,dgs) ; for i from 2 to nops(dgs) do a := a^ op(i,dgs) ; end do: a ; end proc: %p A175422 A175421 := proc(n) A175420(A175420(n)) ; end proc: %p A175422 A175422 := proc(n) A175420(A175421(n)) ; end proc: %p A175422 for n from 0 do printf("%d,\n",A175422(n)) ; end do; # _R. J. Mathar_, May 12 2010 %t A175422 Unprotect[Power]; Power[0, 0] = 1; Protect[Power]; A175420[0]=0; A175420[n_]:=If[(len=IntegerLength[n])==1, n, Last[list=IntegerDigits[n]]^Product[Part[Drop[list, -1], i], {i, len-1}]]; a[n_]:=Nest[A175420[#]&,n,3]; Array[a, 70, 0] (* _Stefano Spezia_, Feb 25 2024 *) %Y A175422 Cf. A175419, A175420, A175421, A175423, A175424, A175425, A175426, A175427. %K A175422 nonn,base %O A175422 0,3 %A A175422 _Jaroslav Krizek_, May 09 2010 %E A175422 7 more terms from _R. J. Mathar_, May 12 2010