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 A022415 Kim-sums: "Kimberling sums" K_n + K_4. 4
 3, 10, 13, 15, 18, 21, 23, 26, 28, 31, 34, 36, 39, 42, 44, 47, 49, 52, 55, 57, 60, 62, 65, 68, 70, 73, 76, 78, 81, 83, 86, 89, 91, 94, 97, 99, 102, 104, 107, 110, 112, 115, 117, 120, 123, 125, 128, 131, 133, 136, 138, 141, 144, 146, 149, 151, 154, 157, 159, 162, 165, 167, 170, 172, 175, 178 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES Posting to math-fun mailing list Jan 10 1997. LINKS J. H. Conway, Allan Wechsler, Marc LeBrun, Dan Hoey, N. J. A. Sloane, On Kimberling Sums and Para-Fibonacci Sequences, Correspondence and Postings to Math-Fun Mailing List, Nov 1996 to Jan 1997 MAPLE Ki := proc(n, i) option remember; local phi ; phi := (1+sqrt(5))/2 ; if i= 0 then n; elif i=1 then floor((n+1)*phi) ; else procname(n, i-1)+procname(n, i-2) ; end if; end proc: Kisum := proc(n, m) local ks, a, i; ks := [seq( Ki(n, i)+Ki(m, i), i=0..5)] ; for i from 0 to 2 do for a from 0 do if Ki(a, 0) = ks[i+1] and Ki(a, 1) = ks[i+2] then return a; end if; if Ki(a, 0) > ks[i+1] then break; end if; end do: end do: end proc: A022415 := proc(n) if n = 0 then 3; else Kisum(n-1, 3) ; end if; end proc: seq(A022415(n), n=0..80) ; # R. J. Mathar, Sep 03 2016 CROSSREFS The "Kim-sums" K_n + K_i for i = 2 through 12 are given in A022413, A022414, A022415, A022416, ..., A022423. Sequence in context: A358266 A299403 A174242 * A344619 A299983 A188373 Adjacent sequences: A022412 A022413 A022414 * A022416 A022417 A022418 KEYWORD nonn AUTHOR STATUS approved

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Last modified March 29 21:39 EDT 2023. Contains 361599 sequences. (Running on oeis4.)