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A227692 Smaller of two consecutive squares which are anagrams (permutations) of each other. 2
169, 24649, 833569, 20367169, 214534609, 368678401, 372142681, 392554969, 407676481, 771617284, 1013021584, 1212780625, 1404075841, 1567051396, 1623848209, 2538748996, 2866103296, 2898960964, 3015437569, 3967236196, 4098688441, 4937451289, 5854239169 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

"Anagram" means that both squares 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..23.

EXAMPLE

169 and 196 are two successive squares.

MAPLE

with(numtheory):for n from 1 to 80000 do:p1:=n^2:p2:= (n+1)^2: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:

MATHEMATICA

lst = {}; k = 1; s = t = 0; ss = {0}; While[k < 155001, s = t; t += k; st = Sort@IntegerDigits@ t; If[ss == st, AppendTo[lst, s]]; ss = st; k += 2]; lst (* Robert G. Wilson v, Oct 24 2014 *)

CROSSREFS

Cf. A069567, A247305.

Sequence in context: A309907 A264222 A051477 * A260862 A006051 A069742

Adjacent sequences:  A227689 A227690 A227691 * A227693 A227694 A227695

KEYWORD

nonn,base

AUTHOR

Michel Lagneau, Aug 12 2013

STATUS

approved

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Last modified January 26 11:27 EST 2021. Contains 340438 sequences. (Running on oeis4.)