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A138803 Imaginary parts of terms (1,1), (2,2) of matrix [1,(1+I); 1,1]^n. 0
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 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

FORMULA

Imaginary parts of upper left and lower right terms of matrix [1,(1+I); 1,1]^n; I^2 = -1.

EXAMPLE

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).

CROSSREFS

Sequence in context: A026690 A036676 A101533 * A048492 A006776 A050231

Adjacent sequences:  A138800 A138801 A138802 * A138804 A138805 A138806

KEYWORD

sign

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 30 2008

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Last modified February 17 02:31 EST 2012. Contains 205978 sequences.