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 A072674 3^n+2*2^n-3. 0
 0, 4, 14, 40, 110, 304, 854, 2440, 7070, 20704, 61094, 181240, 539630, 1610704, 4815734, 14414440, 43177790, 129402304, 387944774, 1163310040, 3488881550, 10464547504, 31389448214, 94159956040, 282463090910, 847355718304 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES G. S. Carr, Formulas and Theorems in Pure Mathematics, New York, Chelsea, 1970. see pp. 83-84. LINKS Index to sequences with linear recurrences with constant coefficients, signature (6, -11, 6). FORMULA G.f.: x * (4 - 10*x) / ((1 - x) * (1 - 2*x) * (1 - 3*x)). a(0)=0, a(1)=4, a(2)=14, a(n)=6*a(n-1)-11*a(n-2)+6*a(n-3). - Harvey P. Dale, Sep 06 2012 EXAMPLE 4*x + 14*x^2 + 40*x^3 + 110*x^4 + 304*x^5 + 854*x^6 + 2440*x^7 + 7070*x^8 + ... MATHEMATICA Table[3^n+2*2^n-3, {n, 0, 30}] (* or *) LinearRecurrence[{6, -11, 6}, {0, 4, 14}, 30] (* Harvey P. Dale, Sep 06 2012 *) PROG (PARI) {a(n) = 3^n + 2 * 2^n - 3} CROSSREFS Sequence in context: A023003 A001872 A054443 * A202900 A032285 A196451 Adjacent sequences:  A072671 A072672 A072673 * A072675 A072676 A072677 KEYWORD nonn,easy AUTHOR Michael Somos, Jul 01 2002 STATUS approved

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