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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

Table of n, a(n) for n=0..29.

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

Barry E. Williams

EXTENSIONS

More terms from Harvey P. Dale, Mar 29 2013

STATUS

approved

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Last modified January 16 21:37 EST 2019. Contains 319206 sequences. (Running on oeis4.)