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Search: id:A060859
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| A060859 |
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Powerful numbers of form n^2 - 1 such that n^2 is also powerful. |
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+0
4
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| 8, 288, 675, 9800, 235224, 332928, 1825200, 11309768, 384199200, 592192224, 4931691075, 13051463048, 221322261600, 443365544448, 865363202000, 8192480787000, 13325427460800, 15061377048200, 511643454094368
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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a(n)=x^2-1 and a(n)+1=x^2 are consecutive powerful numbers.
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EXAMPLE
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Factors of the first [ = x^2-1] terms of powerful pairs: 1825200 = 2.2.2.2.3.3.3.5.5.13.13; 11309768 = 2.2.2.29.29.41.41; 592192224 = 2.2.2.2.2.3.3.13.13.23.23.23; 4931691075 = 3.3.3.3.3.5.5.17.17.53.53. The 2nd terms are squares.
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CROSSREFS
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Proper subset of A060355. Cf. A001694, A060860.
Sequence in context: A136364 A089670 A060355 this_sequence A054607 A132592 A034977
Adjacent sequences: A060856 A060857 A060858 this_sequence A060860 A060861 A060862
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), May 04 2001
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EXTENSIONS
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Corrected and extended by Jud McCranie (j.mccranie(AT)comcast.net), Jul 08 2001
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