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Search: id:A121621
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| A121621 |
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Real part of (2 + 3i)^n. |
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+0
2
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| 1, 2, -5, -46, -119, 122, 2035, 6554, -239, -86158, -341525, -246046, 3455641, 17021162, 23161315, -128629846, -815616479, -1590277918, 4241902555, 37641223154, 95420159401, -107655263398, -1671083125805, -5284814079046, 584824319281
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OFFSET
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0,2
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COMMENT
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A121622 is the companion sequence generated from (3 + 2i).
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FORMULA
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Re(2 + 3i)^n a(n) = 4*a(n-1) - 13*a(n-2)
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EXAMPLE
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a(5) = 122 since (2 + 3i)^5 = (122 -597i).
a(5) = 122 = 4*(-119) - 13*(-46) = 4*a(4) - 13*a(3).
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MATHEMATICA
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f[n_] := Re[(2 + 3I)^n]; Table[f[n], {n, 0, 24}] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A121622.
Sequence in context: A088309 A056680 A005166 this_sequence A119715 A023273 A041729
Adjacent sequences: A121618 A121619 A121620 this_sequence A121622 A121623 A121624
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KEYWORD
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sign
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AUTHOR
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Gary W. Adamson and Nick Williams (qntmpkt(AT)yahoo.com), Aug 10 2006
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EXTENSIONS
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More terms from Robert G. Wilson v, Aug 17 2006
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