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 A340550 Number of main classes of doubly symmetric diagonal Latin squares of order n. 3
 1, 0, 0, 1, 0, 0, 0, 47, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 COMMENTS A doubly symmetric square has symmetries in both the horizontal and vertical planes (see A292517). LINKS Eduard I. Vatutin, On the number of main classes of one plane and double plane symmetric diagonal Latin squares of orders 1-11 (in Russian). EXAMPLE An example of a doubly symmetric diagonal Latin square:   0 1 2 3 4 5 6 7   3 2 7 6 1 0 5 4   2 3 1 0 7 6 4 5   6 7 5 4 3 2 0 1   7 6 3 2 5 4 1 0   4 5 0 1 6 7 2 3   5 4 6 7 0 1 3 2   1 0 4 5 2 3 7 6 In the horizontal direction there is a one-to-one correspondence between elements 0 and 7, 1 and 6, 2 and 5, 3 and 4. In the vertical direction there is also a correspondence between elements 0 and 1, 2 and 4, 6 and 7, 3 and 5. CROSSREFS Cf. A292517, A287650. Sequence in context: A191939 A159446 A116328 * A009038 A051319 A065610 Adjacent sequences:  A340547 A340548 A340549 * A340551 A340552 A340553 KEYWORD nonn,more,hard AUTHOR Eduard I. Vatutin, Jan 11 2021 STATUS approved

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Last modified November 28 04:13 EST 2021. Contains 349400 sequences. (Running on oeis4.)