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 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 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. 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 Sequence in context: A139865 A146403 A000491 * A067651 A090025 A003232 Adjacent sequences:  A097036 A097037 A097038 * A097040 A097041 A097042 KEYWORD nonn,easy AUTHOR Mario Catalani (mario.catalani(AT)unito.it), Jul 20 2004 STATUS approved

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Last modified January 19 21:47 EST 2020. Contains 331066 sequences. (Running on oeis4.)