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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
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,4
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COMMENTS
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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, ...). - Gary W. Adamson, Sep 19 2008
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LINKS
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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.
E.g.f.: exp(x)*cos(2*x) - sin(2*x)*(cosh(x) - sinh(x)). - Stefano Spezia, Jul 01 2023
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PROG
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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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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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