Kevin Ryde: A276734 is where floor(sqrt(k)) arises.  That the better place?  (If these numbers are not interesting enough to make a sequence.)

Bill McEachen: @Kevin As you wish. If change is reverted I can relocate it to there.

Kevin Ryde: Or if this sequence is floor(sqrt(k)) < numdiv(k) then say that (if that's right).

Bill McEachen: @Kevin yeah, I don't see the particular use in that

Bill McEachen: @Kevin thanks.

Bill McEachen: Yes, the 2 taken together. Didn't feel any new sequence was deserved, thus the comment

Amiram Eldar: Can you please check: I see that 5 is in A276734, but d(5)^2 = 2^2 = 4 < 5, so k =5 is not a solution to k <= d(k)^2. In fact by changing k < d(k)^2 to k <= d(k)^2 I get only 2 more terms, 1 and 9.

Bill McEachen: @Amiram here's the script I used:
genit(nterms=75,maxx=17000)={my(arr=List(),comp=List(),dbg=0,cnt=0,combo=List());listput(combo,1);listput(combo,2);listput(combo,3);listput(combo,5);listput(combo,7);forcomposite(x=4,maxx,if(#combo>=nterms,break);q=1.0* #divisors(x)/sqrtint(x);listput(comp,x);listput(arr,q);if(q>=1,listput(combo,x));if(dbg>0,print(x,"  ",q));cnt+=1);print("see SET of list=combo  ",#combo);Set(combo)}

Bill McEachen: OR this script just for the A276734 part, yields 22 terms:
genit2(nterms=75,maxx=17000)={my(arr=List(),comp=List(),dbg=0,cnt=0,combo=List());forcomposite(x=4,maxx,if(#combo>=nterms,break);q=1.0* #divisors(x)/sqrtint(x);listput(comp,x);listput(arr,q);if(q==1,listput(combo,x));if(dbg>0,print(x,"  ",q));cnt+=1);x=1;q=1.0* #divisors(x)/sqrtint(x);listput(comp,x);listput(arr,q);if(q==1,listput(combo,x));x=5;q=1.0* #divisors(x)/sqrtint(x);listput(comp,x);listput(arr,q);if(q==1,listput(combo,x));x=7;q=1.0* #divisors(x)/sqrtint(x);listput(comp,x);listput(arr,q);if(q==1,listput(combo,x));print("see SET of list=combo  ",#combo);Set(combo)}

Maybe I missed something in my characterization (?)

Kevin Ryde: Ahh, "floor(sqrt(k)) <= d(k)" is not the same as "k <= d(k)^2".  Presume the former you started is intention.

Kevin Ryde: (If the numbers of this condition are interesting then a sequence would ensure they're found by a search.)

Bill McEachen: @Kevin I have no interest in any new sequence, I will revert the comment wording as it was originally intended.

Kevin Ryde: Massaged the wording, as it read to me like "together with" meant both this sequence and A276734 had 74 terms, or something like that.  But if k <= d(k)^2 is interesting then could be very inclined to have it as its own sequence instead of a comment.

Bill McEachen: @Michel ok, done, just the type of stuff I don't think about

Michel Marcus: maybe use k <= d(k)^2  (to be like name here)  ?