Consider a room of size r X s where rs = 2n and 1 <= r, 1 <= s; count ways to arrange n Tatami mats in room; a(n) = total number of ways for all choices of r and s. Two arrangements are distinguished if one is a rotation or reflection of the other.

A067925

Consider a room of size r X s where rs = 2n and 1 <= r, 1 <= s; count ways to arrange n Tatami mats in room; a(n) = total number of ways for all choices of r and s. Two arrangements are distinguished if one is a rotation or reflection of the other.

Terms

    a(0) =2a(1) =4a(2) =8a(3) =10a(4) =14a(5) =28a(6) =28a(7) =42a(8) =70a(9) =90a(10) =122a(11) =204a(12) =260a(13) =386a(14) =592a(15) =824a(16) =1192a(17) =1810a(18) =2558a(19) =3764a(20) =5580a(21) =8064a(22) =11794a(23) =17438a(24) =25338a(25) =37144a(26) =54626a(27) =79762a(28) =116852a(29) =171650

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