Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #11 May 29 2021 02:05:17
%S 8,25,49,98,100,121,125,169,196,200,216,225,242,289,338,343,361,363,
%T 392,400,441,484,500,507,529,578,605,625,675,676,686,722,726,784,841,
%U 845,847,867,882,900,961,968,1000,1014,1029,1058,1083,1089,1125,1156,1183,1210
%N Numbers k such that A008477(k) > k.
%C Not closed under multiplication: 8, 100 are terms, but 800 = 8 * 100 is in A008478. Obviously, the product of two coprime terms is again a term.
%C For primes p, p^e is a term if and only if p^e = 8, or p > e >= 2 and p^e != 9.
%H Jianing Song, <a href="/A344714/b344714.txt">Table of n, a(n) for n = 1..15731</a> (All terms <= 10^6).
%e For primes p >= 5, p^2 is a term since 2^p >= p^2.
%e 98 is a term since A008477(98) = A008477(2^1 * 7^2) = 1^2 * 2^7 = 128 > 98.
%o (PARI) isA344714(n) = (factorback(factor(n)*[0, 1; 1, 0])>n) \\ following program for A008477
%Y Cf. A008477, A008478 (numbers k such that A008477(k) = k).
%K nonn
%O 1,1
%A _Jianing Song_, May 27 2021