cp's OEIS Frontend

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.

A355063 Perfect powers whose digits are in nonincreasing order and do not include 0.

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%I A355063 #40 Jul 01 2025 16:56:15
%S A355063 1,4,8,9,32,64,81,441,841,961,7744,7776,8874441,9853321,999887641
%N A355063 Perfect powers whose digits are in nonincreasing order and do not include 0.
%C A355063 a(16) > 10^45 if it exists. - _Michael S. Branicky_, Jun 19 2022
%t A355063 perfectPowerQ[n_] := n==1||GCD @@ FactorInteger[n][[All, 2]] > 1; (* A001597 *) Select[Range[10^5], perfectPowerQ[#] && Max[Differences[d=IntegerDigits[#]]]<1 && Count[d,0]==0&] (* _Stefano Spezia_, Jul 01 2025 *)
%o A355063 (Python)
%o A355063 from sympy import perfect_power as pp
%o A355063 from itertools import count, islice, combinations_with_replacement as mc
%o A355063 def agen():
%o A355063     yield 1
%o A355063     for d in count(1):
%o A355063         nd = (int("".join(m)) for m in mc("987654321", d))
%o A355063         yield from sorted(filter(pp, nd))
%o A355063 print(list(islice(agen(), 14))) # _Michael S. Branicky_, Jun 16 2022
%o A355063 (PARI) isok(m) = if (ispower(m), my(d=digits(m)); vecmin(d) && (d == vecsort(d,,4))); \\ _Michel Marcus_, Jun 17 2022
%Y A355063 Cf. A001597, A009996, A028822, A062826.
%K A355063 nonn,base,more
%O A355063 1,2
%A A355063 _Jon E. Schoenfield_, Jun 16 2022