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A100638 Successive elements of powers of the matrix A=[1,2;3,4]. +0
2
1, 2, 3, 4, 7, 10, 15, 22, 37, 54, 81, 118, 199, 290, 435, 634, 1069, 1558, 2337, 3406, 5743, 8370, 12555, 18298, 30853, 44966, 67449, 98302, 165751, 241570, 362355, 528106, 890461, 1297782, 1946673, 2837134, 4783807, 6972050, 10458075 (list; graph; listen)
OFFSET

1,2

FORMULA

Consider the matrix A=[1, 2;3, 4]. Then a(1)=[A_11], a(2)=[A_12], a(3)=[A_21], a(4)=[A_22], a(5)=[A_11]^2, a(6)=[A_12]^2, a(7)=[A_21]^2, a(8)=[A_22]^2, a(9)=[A_11]^3, a(10)=[A_12]^2, ...

CROSSREFS

Adjacent sequences: A100635 A100636 A100637 this_sequence A100639 A100640 A100641

Sequence in context: A078159 A129490 A018132 this_sequence A033320 A013982 A051449

KEYWORD

easy,nonn

AUTHOR

Simone Severini (ss54(AT)york.ac.uk), Dec 04 2004

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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