A228133 Smaller of two consecutive fourth powers which are anagrams of each other.

256, 3801203878441216, 37676241378424125849856, 458674242952187370600625, 544126177359173833650625, 685460284523397245894656, 1608863370428370905668561, 3002790971698825459360000, 25230797696265342385603441, 287990971036503268357824016

Offset

1,1

Comments

Given the n-th fourth power, it is occasionally possible to form the (n+1)-th fourth power using the same digits in a different order.

"Anagram" means that both fourth powers must not only use the same digits but must use each digit the same number of times.

Links

Table of n, a(n) for n=1..10.

Example

256 and 625 are two successive fourth powers.

Maple

with(numtheory):for n from 1 to 2000000 do:p1:=n^4:p2:= (n+1)^4:pp1:=convert(p1, base, 10): pp2:=convert(p2, base, 10):n1:=sort(pp1):n2:=sort(pp2): if n1=n2 then printf(`%d, `, p1):else fi:od:

Crossrefs

Cf. A000583, A227692.

Sequence in context: A245490 A185981 A255321 * A139304 A018859 A180699

Adjacent sequences: A228130 A228131 A228132 * A228134 A228135 A228136

Keyword

nonn,base

Author

Michel Lagneau, Aug 12 2013

Status

approved