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A138766 Real part of upper left and lower right terms of [1,(1+I); 1,1]^n * [1,0]. +0
1
1, 2, 4, 7, 11, 14, 8, -31, -167, -558, -1572, -4025, -9645, -21922, -47536, -98431, -193935, -360094, -617100, -929593, -1056037, -145682, 4258520, 18546401, 58207561, 158790322, 398072524, 938582407, 2103831971, 4502207934 (list; graph; listen)
OFFSET

1,2

COMMENT

The sequence exhibits curious strings of (-) signs.

FORMULA

Real part of terms (1,1) and (2,2) of matrix [1,(1+I); 1,1]^n * [1,0]; I^2 = -1.

EXAMPLE

a(5) = 11 since fifth power of the matrix generator = [(11,20),(3,27); (15,12),(11,20)]; where (11,20) = (11 + 20*I).

CROSSREFS

Sequence in context: A165288 A086795 A064690 this_sequence A054850 A167805 A027427

Adjacent sequences: A138763 A138764 A138765 this_sequence A138767 A138768 A138769

KEYWORD

sign

AUTHOR

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

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Last modified December 17 19:39 EST 2009. Contains 170821 sequences.


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