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A370522 a(n) is the least n-digit number whose square has the maximum sum of digits (A348300(n)). 3
7, 83, 836, 8937, 94863, 987917, 9893887, 99477133, 994927133, 9380293167, 99497231067, 926174913167, 9892825177313, 89324067192437, 943291047332683, 9949874270443813, 83066231922477313, 707106074079263583, 9429681807356492126, 94180040294109027313, 888142995231510436417, 8882505274864168010583 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
a(n) is the last n-digit term in A067179.
As the last two of the only nine known numbers whose square has a digit mean above 8.25 (see A164841), there is a high probability that a(30)=314610537013606681884298837387 and a(31)=9984988582817657883693383344833.
LINKS
Zhining Yang, Table of n, a(n) for n = 1..24 (terms 11..24 from Zhao Hui Du)
EXAMPLE
a(3) = 836 because among all 3-digit numbers, 836 is the smallest whose square 698896 has the maximum sum of digits, 46 = A348300(3).
MATHEMATICA
A348300={13, 31, 46, 63, 81, 97, 112, 130, 148, 162, 180};
A370522[n_]:=Do[If[Total@IntegerDigits[k^2]==A348300[[n]], Return[k]; ], {k, 10^(n-1), 10^n-1}];
Table[A370522[n], {n, 8}]
PROG
(Python)
def A370522(n):
A348300=[0, 13, 31, 46, 63, 81, 97, 112, 130, 148, 162, 180]
for k in range(10**(n-1), 10**n):
if sum(int(d) for d in str(k**2))==A348300[n]:
return(k)
print([A370522(n) for n in range(1, 9)])
CROSSREFS
Sequence in context: A297716 A075137 A268704 * A099668 A348303 A240170
KEYWORD
nonn,base
AUTHOR
Zhining Yang, Feb 21 2024
EXTENSIONS
a(11)-a(24) from Zhao Hui Du, Feb 23 2024
STATUS
approved

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Last modified July 22 22:03 EDT 2024. Contains 374544 sequences. (Running on oeis4.)