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Search: id:A078355
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| A078355 |
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Minimal (positive) solution a(n) of Pell equation b(n)^2 - D(n)*a(n)^2 = +4 with D(n)= A077425(n). The companion sequence is a(n)=A077428(n). |
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+0
19
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| 1, 3, 16, 1, 5, 8, 24, 640, 1, 7, 40, 195, 32, 3, 534000, 1, 9, 106000, 3, 12754704, 40, 8, 6525, 226592, 1, 11, 2968, 15
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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For the conversion of the (x,y) values of Perron's table to the (b(n),a(n)) values see a A077428 comment.
For the general solution of Pell b^2 - D(n)*a^2 = +4 see a comment in A077428 (with a and b interchanged).
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REFERENCES
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O. Perron, "Die Lehre von den Kettenbruechen, Bd.I", Teubner, 1954, 1957 (Sec. 30, Satz 3.35, p. 109 and table p. 108).
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LINKS
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S. R. Finch, Class number theory
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CROSSREFS
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Sequence in context: A076046 A134807 A004002 this_sequence A107823 A139815 A098373
Adjacent sequences: A078352 A078353 A078354 this_sequence A078356 A078357 A078358
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KEYWORD
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nonn,more
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Nov 29 2002
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