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 A249896 a(n+1) is next smallest square not divisible by 10 beginning with a(n), initial term is 6. 5
 6, 64, 64009, 6400960036, 640096003602877347904, 640096003602877347904912233550482787380625, 6400960036028773479049122335504827873806251020537411455326101704116338781035920283225 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(11) has 1374 digits, a(12) has 2749, a(13) has 5499, a(14) has 10998. - Robert Israel, Nov 25 2020 LINKS Robert Israel, Table of n, a(n) for n = 1..10 Robert Israel, Table of n, a(n) for n = 1..14 MAPLE R:= 6: x:= 6: s:= 2: for iter from 1 while length(x) < 1000 do   for d from 1 do    if d::even then sp:= 1+ 10^(d/2)*s    else      sp:= ceil(sqrt(10^d*x));      if sp mod 10 = 0 then sp:=sp+1; fi    fi;    if sp^2 < (x+1)*10^d then      x:= sp^2; s:= sp; R:= R, x; break    fi   od; od: R; # Robert Israel, Nov 25 2020 PROG (PARI) a(n)=k=n; s=1; while(s<5*10^7, if(s%10, if(s^2\(10^(#Str(s^2)-#Str(k)))==k, print1(s^2, ", "); k=s^2)); s++) a(7) (Python) def f(x): ..print(x, end=', ') ..n = x ..s = 1 ..while s < 10**7: ....if s % 10: ......S = str(s**2) ......if S.startswith(str(n)): ........print(s**2, end=', ') ........n = s**2 ....s += 1 f(7) CROSSREFS Cf. A048559, A048561. Sequence in context: A249592 A333983 A087488 * A249828 A179879 A297516 Adjacent sequences:  A249893 A249894 A249895 * A249897 A249898 A249899 KEYWORD nonn,base,changed AUTHOR Derek Orr, Nov 08 2014 STATUS approved

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Last modified November 30 02:42 EST 2020. Contains 338781 sequences. (Running on oeis4.)