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A055851
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a(n) and floor[a(n)/6] are both squares; i.e. squares which remain squares when written in base 6 and last digit is removed.
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18
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0, 1, 4, 9, 25, 100, 729, 2401, 9604, 71289, 235225, 940900, 6985449, 23049601, 92198404, 684502569, 2258625625, 9034502500, 67074266169, 221322261601, 885289046404, 6572593581849, 21687323011225, 86749292044900
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OFFSET
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1,3
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COMMENTS
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For the first 3 terms, the above "base 6" interpretation is questionable, since they have only 1 digit in base 6. It is understood that dropping this digit yields 0. - M. F. Hasler, Jan 15 2012
Base-6 analogue of A055792 (base 2), A055793 (base 3), A055808 (base 4), A055812 (base 5), A204517 (base 7), A204515 (base 8), A204503 (base 9) and A023110 (base 10). - M. F. Hasler, Jan 15 2012
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LINKS
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Table of n, a(n) for n=1..24.
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FORMULA
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a(n)=A204518(n)^2. - M. F. Hasler, Jan 15 2012
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EXAMPLE
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a(5) = 100 because 100 = 10^2 = 244 base 6 and 24 base 6 = 16 = 4^2
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PROG
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(PARI) b=6; for(n=1, 2e9, issquare(n^2\b) & print1(n^2, ", ")) \\ - M. F. Hasler, Jan 15 2012
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CROSSREFS
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Cf. A023110.
Sequence in context: A220444 A117678 A167045 * A025494 A087374 A081948
Adjacent sequences: A055848 A055849 A055850 * A055852 A055853 A055854
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KEYWORD
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base,nonn
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AUTHOR
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Henry Bottomley, Jul 14 2000
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EXTENSIONS
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More terms added and offset changed to 1 by M. F. Hasler, Jan 16 2012.
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STATUS
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approved
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