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Search: id:A154533
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| A154533 |
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Number of constants of the form a^3*u + b*c*v, where a, b, c are linear, u of order n-3 and v of order n-2. |
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+0
1
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| 10, 9, 10, 13, 18, 25, 34, 45, 58, 73, 90, 109, 130, 153, 178, 205, 234, 265, 298, 333, 370, 409, 450, 493, 538, 585, 634, 685, 738, 793, 850, 909, 970, 1033, 1098, 1165, 1234, 1305, 1378, 1453, 1530, 1609, 1690, 1773, 1858, 1945, 2034, 2125, 2218, 2313
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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Emanuel Lasker, Zur Theorie der kanonischen Formen, Mathematische Annalen, 58 (1904), 434-440.
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LINKS
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Emanuel Lasker, Zur Theorie der kanonischen Formen
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FORMULA
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a(n) = n^2 - 2*n + 10.
a(n)=2*n+a(n-1)-5 (with a(1)=10) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 29 2009]
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EXAMPLE
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For n=2, a(2)=2*2+10-5=9; n=3, a(3)=2*3+9-5=10; n=4, a(4)=2*4+10-5=13 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 29 2009]
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PROGRAM
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(Other) sage: [lucas_number1(3, n, -9) for n in xrange(-1, 49)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 16 2009]
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CROSSREFS
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Sequence in context: A070562 A070641 A063661 this_sequence A167608 A063596 A003568
Adjacent sequences: A154530 A154531 A154532 this_sequence A154534 A154535 A154536
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 11 2009
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