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 A236347 Manhattan distances between n and 2*n in a left-aligned triangle with next M natural numbers in row M: 1, 2 3, 4 5 6, 7 8 9 10, etc. 1
 1, 1, 2, 2, 3, 3, 4, 3, 2, 3, 2, 3, 4, 5, 6, 5, 6, 7, 5, 4, 3, 9, 4, 3, 4, 5, 6, 10, 5, 6, 7, 8, 9, 8, 7, 6, 10, 11, 12, 6, 5, 4, 5, 6, 7, 4, 5, 6, 7, 8, 9, 10, 12, 11, 10, 10, 11, 12, 13, 14, 9, 8, 7, 6, 5, 6, 17, 18, 6, 5, 6, 7, 8, 9, 10, 11, 16, 15, 9, 10, 11, 12 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Table of n, a(n) for n=1..82. EXAMPLE Triangle in which we find distances begins: _1 _2 3 _4 5 6 _7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 PROG (Python) import math def getXY(n): y = int(math.sqrt(n*2)) if n<=y*(y+1)/2: y-=1 x = n - y*(y+1)/2 return x, y for n in range(1, 88): ox, oy = getXY(n) nx, ny = getXY(2*n) print str(abs(nx-ox)+abs(ny-oy))+', ', CROSSREFS Cf. A232113, A236345, A236346. Sequence in context: A237817 A306949 A189025 * A045430 A067693 A322006 Adjacent sequences: A236344 A236345 A236346 * A236348 A236349 A236350 KEYWORD nonn AUTHOR Alex Ratushnyak, Jan 23 2014 STATUS approved

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Last modified April 17 01:50 EDT 2024. Contains 371756 sequences. (Running on oeis4.)