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A152185
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a(n)=-3*a(n-1)+5*a(n-2), n>1 ; a(0)=1, a(1)=-5 .
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3
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1, -5, 20, -85, 355, -1490, 6245, -26185, 109780, -460265, 1929695, -8090410, 33919705, -142211165, 596232020, -2499751885, 10480415755, -43940006690, 184222098845, -772366329985, 3238209484180, -13576460102465
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (-3,5).
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FORMULA
| G.f.: (1-2x)/(1+3x-5x^2). a(n)=Sum{k, 0<=k<=n}A147703(n,k)*(-6)^k .
a(n)=(-1)^n*A152187(n). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 29 2008]
a(n)=(1/2)*{[ -(3/2)-(1/2)*sqrt(29)]^n+[ -(3/2)+(1/2)*sqrt(29)]^n}+(7/58)*sqrt(29)*{[(-3/2)-(1/2)*sqrt(29)]^n-[(-3 /2)+(1/2)*sqrt(29)]^n}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Dec 01 2008]
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PROG
| (PARI) Vec((1-2*x)/(1+3*x-5*x^2)+O(x^99)) \\ Charles R Greathouse IV, Jan 11 2012
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CROSSREFS
| Cf. A152163, A152166, A152167, A152174.
Sequence in context: A006231 A069007 A126987 * A152187 A045499 A145932
Adjacent sequences: A152182 A152183 A152184 * A152186 A152187 A152188
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KEYWORD
| sign,easy
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 28 2008
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