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A175422 Sequence of resulting numbers after 3rd step of iteration defined in A175419. 8

%I

%S 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 6561,1,25,216,1,8,1,0,1,6,1,1,1,1,1,1,1,0,1,8,1,1,

%U 867361737988403547205962240695953369140625,1,1,1,1,0,1,1,1,1,1,1,1,1,1

%N Sequence of resulting numbers after 3rd step of iteration defined in A175419.

%e 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 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 A175421 := proc(n) A175420(A175420(n)) ; end proc:

%p A175422 := proc(n) A175420(A175421(n)) ; end proc:

%p for n from 0 do printf("%d,\n",A175422(n)) ; end do; # _R. J. Mathar_, May 12 2010

%Y Cf. A175419, A175420, A175421, A175423, A175424, A175425, A175426, A175427.

%K nonn,base

%O 0,3

%A _Jaroslav Krizek_, May 09 2010

%E 7 more terms from _R. J. Mathar_, May 12 2010

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Last modified February 4 19:58 EST 2023. Contains 360059 sequences. (Running on oeis4.)