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Search: id:A119408
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| A119408 |
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Decimal equivalent of the binary string generated by the n X n identity matrix. |
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+0
1
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| 1, 9, 273, 33825, 17043521, 34630287489, 282578800148737, 9241421688590303745, 1210107565283851686118401, 634134936313486520338360567809
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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The sequence can be generated by the following: 2^((n+1)(n-1)) + 2^((n+1)(n-2)) + ... + 1 where n=2,3,...
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EXAMPLE
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n=2 [1 0; 0 1] == 1001b=9d
n=3 [1 0 0; 0 1 0; 0 0 1] == 100010001b=273d
n=4 [1 0 0 0; 0 1 0 0; 0 0 1 0; 0 0 0 1] == 1000010000100001b=33825d
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MATHEMATICA
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For[n=2, n<=10, Print[n, " ", Sum[2^((n+1)(k-1)), {k, 1, n}]]; n++ ]
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CROSSREFS
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Sequence in context: A088672 A157571 A028456 this_sequence A012234 A012141 A110553
Adjacent sequences: A119405 A119406 A119407 this_sequence A119409 A119410 A119411
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KEYWORD
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nonn
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AUTHOR
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Lynn R. Purser (lynn.r.purser(AT)boeing.com), Jul 25 2006
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