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Search: id:A138803
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| A138803 |
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Imaginary parts of terms (1,1), (2,2) of matrix [1,(1+I); 1,1]^n. |
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+0
1
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| 0, 1, 3, 8, 20, 47, 105, 224, 456, 881, 1595, 2632, 3692, 3359, -2927, -27776, -103088, -304607, -803149, -1966392, -4549884, -10029361, -21114759, -42375200, -80491880, -142437359, -226667157, -294543992, -191015460, 556551487, 3216934945
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OFFSET
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1,3
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FORMULA
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Imaginary parts of upper left and lower right terms of matrix [1,(1+I); 1,1]^n; I^2 = -1.
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EXAMPLE
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a(6) = 47 since the sixth power of the matrix generator = [(14,47); (-6,58); (26,32); (14,47)]; where (14,47) = (14 + 47*I).
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CROSSREFS
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Adjacent sequences: A138800 A138801 A138802 this_sequence A138804 A138805 A138806
Sequence in context: A026690 A036676 A101533 this_sequence A048492 A006776 A050231
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KEYWORD
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sign
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 30 2008
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