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A118434
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Row sums of self-inverse triangle A118433.
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7
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1, 0, 2, 4, -4, 0, -8, -16, 16, 0, 32, 64, -64, 0, -128, -256, 256, 0, 512, 1024, -1024, 0, -2048, -4096, 4096, 0, 8192, 16384, -16384, 0, -32768, -65536, 65536, 0, 131072, 262144, -262144, 0, -524288, -1048576, 1048576, 0, 2097152, 4194304, -4194304
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..44.
Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,-4).
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FORMULA
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O.g.f.: A(x) = (1+2*x^2+4*x^3)/(1+4*x^4). E.g.f.: A(x) = cos(x)*exp(-x) + sin(x)*exp(x).
2*a(n) = i*(1-i)^n-i*(1+i)^n+(-1-i)^n+(-1+i)^n with i=sqrt(-1). - R. J. Mathar, Jan 18 2011
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MAPLE
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A118434 := proc(n) I*(1-I)^n-I*(1+I)^n+(-1-I)^n+(-1+I)^n ; expand(%/2) ; end proc:
# R. J. Mathar, Jan 18 2011
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PROG
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(PARI) {a(n)=polcoeff((1+2*x^2+4*x^3)/(1+4*x^4+x*O(x^n)), n)} (PARI) /* E.g.f.: */ {a(n)=local(x=X+X*O(X^n)); n!*polcoeff(cos(x)*exp(-x)+sin(x)*exp(x), n, X)}
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CROSSREFS
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Cf. A118433.
Sequence in context: A112793 A009116 A146559 * A090132 A199051 A099211
Adjacent sequences: A118431 A118432 A118433 * A118435 A118436 A118437
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KEYWORD
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sign,easy
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AUTHOR
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Paul D. Hanna, Apr 28 2006
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STATUS
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approved
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