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Search: id:A092414
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| A092414 |
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Negative of the determinant of the 3 X 3 matrix with entries (X+Y)^n. |
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+0
1
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| 0, 0, 8, 2016, 301856, 35402880, 3596797568, 332433378816, 28736957620736, 2363831961200640, 187161691763222528, 14378930653933756416, 1078142718948065878016, 79242945178480535961600
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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50^n + 54^n - 48^n + 64^n - 2*60^n.
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EXAMPLE
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n=3 gives
[2^3, 3^3, 4^3]
[3^3, 4^3, 5^3]
[4^3, 5^3, 6^3]
=
[8,27,64]
[27,64,125]
[64,125,216]
with det -2016
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PROGRAM
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(PARI) for(j=0, 15, m=matrix(3, 3, X, Y, (X+Y)^j); print1(", "-matdet(m)))
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CROSSREFS
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Sequence in context: A027515 A076955 A024112 this_sequence A139298 A004819 A001375
Adjacent sequences: A092411 A092412 A092413 this_sequence A092415 A092416 A092417
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KEYWORD
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nonn
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AUTHOR
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Jon Perry (perry(AT)globalnet.co.uk), Mar 22 2004
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