

A175422


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


8



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, 6561, 1, 25, 216, 1, 8, 1, 0, 1, 6, 1, 1, 1, 1, 1, 1, 1, 0, 1, 8, 1, 1, 867361737988403547205962240695953369140625, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1
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OFFSET

0,3


LINKS

Table of n, a(n) for n=0..69.


EXAMPLE

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.


MAPLE

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:
A175421 := proc(n) A175420(A175420(n)) ; end proc:
A175422 := proc(n) A175420(A175421(n)) ; end proc:
for n from 0 do printf("%d, \n", A175422(n)) ; end do; # R. J. Mathar, May 12 2010


CROSSREFS

Cf. A175419, A175420, A175421, A175423, A175424, A175425, A175426, A175427.
Sequence in context: A179636 A217657 A175419 * A175423 A175421 A175420
Adjacent sequences: A175419 A175420 A175421 * A175423 A175424 A175425


KEYWORD

nonn,base


AUTHOR

Jaroslav Krizek, May 09 2010


EXTENSIONS

7 more terms from R. J. Mathar, May 12 2010


STATUS

approved



