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Search: id:A118444
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| 1, -1, 1, -9, -31, 79, 161, -249, -191, -481, -2879, 9111, 22049, -42641, -60319, 28071, -189311, 897599, 2643841, -6087369, -11130271, 14084239, 685601, 67678791, 274143169, -758178721, -1661999039, 2857102551, 3118415009, 1811852719, 22839485921, -82298680089, -214997290751
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OFFSET
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0,4
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COMMENT
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A118441 is the matrix log of triangle A118435.
Given the series S = (1, -i)^n, n>0: (1, -1), (0, -2), (-2, -2),...; the real part of the binomial transform of S = (1, 1, -1, -9, -31, -79, -161, -249, -191, 481,...). [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 19 2008]
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FORMULA
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G.f.: (1-x+13*x^2-21*x^3+67*x^4-115*x^5+175*x^6-375*x^7)/(1+6*x^2+25*x^4)^2.
For n>3, a(n) = 4*a(n-1) - 5*a(n-2). - Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 08 2006
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PROGRAM
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(PARI) {a(n)=polcoeff((1-x+13*x^2-21*x^3+67*x^4-115*x^5+175*x^6-375*x^7)/(1+6*x^2+25*x^\ 4 +x*O(x^n))^2, n)}
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CROSSREFS
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Cf. A118441, A118443; A118435.
Sequence in context: A072887 A133739 A004126 this_sequence A048374 A140323 A145950
Adjacent sequences: A118441 A118442 A118443 this_sequence A118445 A118446 A118447
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KEYWORD
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sign
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Apr 28 2006
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