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A125652
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Numbers m such that m^2=A125650(k) for some k (belonging A125651).
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4
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1, 3, 9, 105, 306, 3567, 10395, 121173, 353124, 4116315, 11995821, 139833537, 407504790, 4750223943, 13843167039, 161367780525, 470260174536, 5481754313907, 15975002767185, 186218278892313, 542679833909754
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Indices k such that a(n)^2=A125650(k) are listed in A125651.
3 divides a(n) for n>1. For n>1 a(n) = 3*A041053(2n-3), where A041053(n) = {1, 1, 2, 3, 32, 35, 67, 102, 1087, 1189, 2276, 3465, ...} Denominators of continued fraction convergents to sqrt(32). - Alexander Adamchuk (alex(AT)kolmogorov.com), Jan 19 2007
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FORMULA
| a(2k)=A106328(2k); for k>0, a(2k+1)=A106328(2k+1)/2.
a(n) = sqrt(A125650(A125651(n))).
a(n) = 3*A041053(2n-3) for n>1. - Alexander Adamchuk (alex(AT)kolmogorov.com), Jan 19 2007
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EXAMPLE
| a(2)=3 because A125650(3)=9=3^2; a(3)=9 because A125650(24)=81=9^2.
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CROSSREFS
| Cf. A125650, A125651, A106328.
Cf. A041053.
Sequence in context: A018716 A018725 A135989 * A018746 A053914 A018757
Adjacent sequences: A125649 A125650 A125651 * A125653 A125654 A125655
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KEYWORD
| nonn
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AUTHOR
| Alexander Adamchuk (alex(AT)kolmogorov.com), Nov 29 2006, corrected Dec 14 2006
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EXTENSIONS
| Edited by Max Alekseyev (maxale(AT)gmail.com), Jan 11 2007
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