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Search: id:A104480
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| A104480 |
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Numbers n such that the period length P(n) of the Fibonacci sequence modulo n is a perfect square. |
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1
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| 1, 7, 17, 21, 25, 34, 68, 97, 119, 127, 133, 136, 152, 175, 189, 238, 266, 275, 323, 337, 343, 357, 378, 381, 391, 399, 425, 437, 475, 476, 505, 525, 532, 544, 577, 608, 621, 625, 646, 647, 679, 707, 714, 749, 755, 756, 782, 798, 850, 864, 874, 889, 950, 952
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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144 appears to be the most common perfect square.
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EXAMPLE
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Let P(n) be the period length of the modulo n Fibonacci sequence (also called the Pisano period). Then {P(n)}=1,3,8,6,20,24,16,12,... and a(2)=7 because the second perfect square in {P(n)} occurs when n=7.
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CROSSREFS
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Cf. A001175.
Sequence in context: A106123 A156011 A155774 this_sequence A053746 A144695 A125244
Adjacent sequences: A104477 A104478 A104479 this_sequence A104481 A104482 A104483
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KEYWORD
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nonn
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AUTHOR
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William C. Brown (wcbrow00(AT)centre.edu), Apr 18 2005
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