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 A096198 Triangle read by rows: T(m,n)=A029837(m)+A029837(n), where (m,n)=(1,1); (2,1), (1,2); (3,1), (2,2), (1,3); ... 0
 0, 1, 1, 2, 2, 2, 2, 3, 3, 2, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 4, 5, 4, 5, 4, 3, 3, 4, 5, 5, 5, 5, 4, 3, 4, 4, 5, 5, 6, 5, 5, 4, 4, 4, 5, 5, 5, 6, 6, 5, 5, 5, 4, 4, 5, 6, 5, 6, 6, 6, 5, 6, 5, 4, 4, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4, 4, 5, 6, 6, 7, 6, 6, 6, 7, 6, 6, 5, 4, 4, 5, 6, 6, 7, 7, 6, 6, 7, 7, 6, 6, 5, 4 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS A029837(n) is the smallest k such that 2^k>=n. T(m,n) is the solution to the following simple problem. What is the minimum number of cuts needed to divide a sheet of paper whose sides are in the ratio m:n into mn square pieces of equal size? (A single cut means either cutting one rectangle into two smaller rectangles or placing two or more sheets on top of one another and cutting through the lot in one go.) LINKS EXAMPLE Array begins 0 1 1 2 2 2 2 3 3 2 3 3 4 3 3 MATHEMATICA t[n_, k_] := Ceiling[Log[2, k]] + Ceiling[Log[2, n-k+1]]; Table[t[n, k], {n, 1, 14}, {k, 1, n}] // Flatten (* Jean-François Alcover, Feb 24 2015 *) CROSSREFS Cf. A029837. Sequence in context: A023516 A156607 A093450 * A103183 A335898 A143901 Adjacent sequences:  A096195 A096196 A096197 * A096199 A096200 A096201 KEYWORD easy,nonn,tabl AUTHOR Paul Boddington, Jul 26 2004 STATUS approved

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Last modified January 22 11:06 EST 2022. Contains 350481 sequences. (Running on oeis4.)