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Search: id:A051138
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| A051138 |
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Associated with division polynomial of y^2+y=x^3-x and point (0,0). |
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+0
1
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| 0, 1, 1, -1, -5, -4, 29, 129, -65, -3689, -16264, 113689, 2382785, 7001471, -398035821, -7911171596, 43244638645, 6480598259201, 124106986093951, -5987117709349201, -541051130050800400, -4830209396684261199
(list; graph; listen)
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OFFSET
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0,5
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REFERENCES
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C. Kimberling, Strong divisibility sequences and some conjectures, Fib. Quart., 17 (1979), 13-17.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..100
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FORMULA
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a(n)=(a(n-1)a(n-3)+a(n-2)^2)/a(n-4), a(n)=(-a(n-1)a(n-4)+5a(n-2)a(n-3))/a(n-5), a(2n+1)=a(n+2)a(n)^3 - a(n-1)a(n+1)^3, a(2n)=a(n+2)a(n)a(n-1)^2 - a(n)a(n-2)a(n+1)^2.
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PROGRAM
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(PARI) an=vector(200); an=concat([ 1, 1, -1, -5 ], an); for(n=5, length(an), an[ n ]=(an[ n-1 ]*an[ n-3 ]+an[ n-2 ]^2)/an[ n-4 ]); a(n)=an[ n ]
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CROSSREFS
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A006769(2n)=a(n), A028937(n)=a(n)^2, A028939(n)=|a(n)|^3. Cf. A006769, A006720, A028937, A028939.
Adjacent sequences: A051135 A051136 A051137 this_sequence A051139 A051140 A051141
Sequence in context: A057423 A038246 A024067 this_sequence A091001 A078811 A093399
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KEYWORD
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sign,easy,nice
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AUTHOR
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Michael Somos
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