The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A097039 a(n) = Sum_{i=0..n} i*L(i), where L = A000032. 0
 0, 1, 7, 19, 47, 102, 210, 413, 789, 1473, 2703, 4892, 8756, 15529, 27331, 47791, 83103, 143810, 247814, 425445, 727985, 1241981, 2113247, 3587064, 6075432, 10269457, 17326975, 29185483, 49083599, 82429278, 138244218, 231565037 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Index entries for linear recurrences with constant coefficients, signature (3,-1,-3,1,1). FORMULA O.g.f.: x*(-1 - 4*x + x^2)/((-1 + x)*(-1 + x + x^2)^2). a(n) = n*L(n+2) - L(n+3) + 4. a(n) = 3*a(n-1) - a(n-2) - 3*a(n-3) + a(n-4) + a(n-5). - Wesley Ivan Hurt, Aug 19 2022 MATHEMATICA l[n_] := l[n] = l[n - 1] + l[n - 2]; l[0] = 2; l[1] = 1; Table[Sum[k l[k], {k, 0, n}], {n, 0, 10}] With[{nn=40}, Accumulate[Times@@@Thread[{LucasL[Range[0, nn]], Range[ 0, nn]}]]] (* Harvey P. Dale, Aug 15 2015 *) CROSSREFS Cf. A000032. Sequence in context: A139865 A146403 A000491 * A067651 A357301 A090025 Adjacent sequences: A097036 A097037 A097038 * A097040 A097041 A097042 KEYWORD nonn,easy AUTHOR Mario Catalani (mario.catalani(AT)unito.it), Jul 20 2004 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 28 20:13 EST 2022. Contains 358421 sequences. (Running on oeis4.)