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 A048755 Partial sums of A048693. 0
 1, 7, 20, 52, 129, 315, 764, 1848, 4465, 10783, 26036, 62860, 151761, 366387, 884540, 2135472, 5155489, 12446455, 30048404, 72543268, 175134945, 422813163, 1020761276, 2464335720, 5949432721, 14363201167, 34675835060, 83714871292, 202105577649, 487926026595 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Index entries for linear recurrences with constant coefficients, signature (3,-1,-1). FORMULA a(n)=2*a(n-1)+a(n-2)+5; a(0)=1, a(1)=6. a(n)=[ {(6+(7/2)*sqrt(2))(1+sqrt(2))^n - (6-(7/2)*sqrt(2))(1-sqrt(2))^n}/ 2*sqrt(2) ]-5/2. G.f. ( 1+4*x ) / ( (x-1)*(x^2+2*x-1) ). - R. J. Mathar, Nov 08 2012 a(0)=1, a(1)=7, a(2)=20, a(n)=3*a(n-1)-a(n-2)-a(n-3). - Harvey P. Dale, Mar 29 2013 MATHEMATICA Accumulate[LinearRecurrence[{2, 1}, {1, 6}, 30]] (* or *) LinearRecurrence[ {3, -1, -1}, {1, 7, 20}, 40] (* Harvey P. Dale, Mar 29 2013 *) CROSSREFS Cf. A048693, A048654, A048655. Sequence in context: A047862 A264879 A320681 * A055267 A218843 A219422 Adjacent sequences:  A048752 A048753 A048754 * A048756 A048757 A048758 KEYWORD easy,nonn AUTHOR EXTENSIONS More terms from Harvey P. Dale, Mar 29 2013 STATUS approved

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Last modified May 22 19:48 EDT 2022. Contains 353957 sequences. (Running on oeis4.)