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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A130248 Partial sums of the Lucas Inverse A130247. 20 1, 1, 3, 6, 9, 12, 16, 20, 24, 28, 33, 38, 43, 48, 53, 58, 63, 69, 75, 81, 87, 93, 99, 105, 111, 117, 123, 129, 136, 143, 150, 157, 164, 171, 178, 185, 192, 199, 206, 213, 220, 227, 234, 241, 248, 255, 263, 271, 279, 287, 295, 303, 311, 319, 327, 335, 343, 351 (list; graph; refs; listen; history; text; internal format) OFFSET 1,3 LINKS G. C. Greubel, Table of n, a(n) for n = 1..5000 FORMULA a(n)=sum{1<=k<=n, A130247(k)}=2+(n+1)*A130247(n)-A000032(A130247(n)+2) for n>=3. G.f.: g(x)=1/(1-x)^2*(sum{k>=1, x^Lucas(k)}-x^2). MATHEMATICA Join[{1, 1}, Table[Sum[Floor[Log[GoldenRatio, k + 1/2]], {k, 1, n}], {n, 3, 50}]] (* G. C. Greubel, Dec 24 2017 *) CROSSREFS Other related sequences: A000032, A130241, A130242, A130243, A130244, A130245, A130246, A130251, A130252, A130257, A130261. Fibonacci inverse see A130233 - A130240, A104162. Sequence in context: A211267 A084515 A084525 * A203302 A214050 A260706 Adjacent sequences: A130245 A130246 A130247 * A130249 A130250 A130251 KEYWORD nonn AUTHOR Hieronymus Fischer, May 19 2007 STATUS approved

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Last modified August 18 07:06 EDT 2024. Contains 375255 sequences. (Running on oeis4.)