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 A322042 Maximum edge-distance of a point in the quotient graph E/nE from the origin (see A322041 for further information). 2
 0, 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 8, 8, 9, 10, 10, 11, 12, 12, 13, 14, 14, 15, 16, 16, 17, 18, 18, 19, 20, 20, 21, 22, 22, 23, 24, 24, 25, 26, 26, 27, 28, 28, 29, 30, 30, 31, 32, 32, 33, 34, 34, 35, 36, 36, 37, 38, 38, 39, 40, 40, 41, 42, 42 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS N. J. A. Sloane, Table of n, a(n) for n = 1..100 FORMULA Conjectures from Colin Barker, Dec 06 2018: (Start) G.f. = x(1+x)/(1-x-x^3+x^4) [Simplified by N. J. A. Sloane, Dec 06 2018] a(n) = a(n-1) + a(n-3) - a(n-4) for n>4. (End) Conjecture: a(n) = n - ceiling(n/3) = A004523(n). MAPLE hist2:=proc(n) local A, i, j, m, d1, d2, d3, d4; A:=Array(0..n, 0); for i from 0 to n-1 do for j from 0 to n-1 do d1:=i+j; d2:=n-i; d3:=2*n-i-j; d4:=n-j; if i+j 0 then R:=i; fi; od: R; end; RR:=[]; for n from 1 to 100 do RR:=[op(RR), hist2(n)]; od: RR; CROSSREFS Cf. A322041. Sequence in context: A156301 A195124 A032509 * A004523 A038372 A121930 Adjacent sequences:  A322039 A322040 A322041 * A322043 A322044 A322045 KEYWORD nonn AUTHOR N. J. A. Sloane, Dec 06 2018 STATUS approved

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Last modified July 31 03:23 EDT 2021. Contains 346367 sequences. (Running on oeis4.)