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A174525
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Bases N in which ab and ba are different squares, for some a and b
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1
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9, 12, 17, 19, 24, 25, 28, 33, 40, 49, 51, 52, 57, 60, 64, 67, 72, 73, 79, 81, 84, 88, 89, 96, 97, 99, 103, 105, 108, 112, 115, 116, 121, 124, 129, 134, 136, 144, 145, 148, 156, 161, 163, 168, 169, 172, 177, 180, 184, 192, 193, 199
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refs;
listen;
history;
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..52.
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EXAMPLE
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17 and 71 are squares in base 9. 14 and 41 are squares in base 12
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PROG
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(Other) for N=2:200, Tens=zeros(1, N-1); Units=zeros(1, N-1); for a=N-1:-1:sqrt(N), c=a^2; Tens(a)=floor(c/N); Units(a)=rem(c, N); end; for a=N-1:-1:sqrt(N), h=find((Units==Tens(a))&([1:N-1]~=a)); if length(h), Match=any(Units(a)==Tens(h)); if Match, Sol(N)=Sol(N)+1; end; end; end; end;
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CROSSREFS
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Sequence in context: A027571 A154631 A199593 * A141552 A162822 A087269
Adjacent sequences: A174522 A174523 A174524 * A174526 A174527 A174528
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KEYWORD
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base,easy,nonn
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AUTHOR
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Michael Peake (michael.peake(AT)bigpond.com.au), Mar 21 2010
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STATUS
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approved
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