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 A305569 Number of bachelor diagonal Latin squares of order n. 3
 0, 0, 0, 0, 480, 92160, 861557760, 300261256888320, 1835082185382168791040 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS A bachelor diagonal Latin square is one with no orthogonal mate. LINKS E. I. Vatutin, Discussion about properties of diagonal Latin squares at forum.boinc.ru (in Russian) E. I. Vatutin, S. E. Kochemazov, O. S. Zaikin, I. I. Citerra, Estimation of the probability of finding orthogonal diagonal Latin squares among general diagonal Latin squares, Recognition - 2018. Kursk: SWSU, 2018. pp. 72-74. (in Russian) Eduard I. Vatutin, Natalia N. Nikitina, Maxim O. Manzuk, First results of an experiment on studying the properties of DLS of order 9 in the volunteer distributed computing projects Gerasim@Home and RakeSearch (in Russian). Eduard I. Vatutin, Natalia N. Nikitina, Maxim O. Manzuk, Additional calculated results of an experiment on studying the properties of DLS of order 9 in the volunteer distributed computing projects Gerasim@Home and RakeSearch (in Russian). FORMULA a(n) = A305568(n) * n!. a(n) = A274806(n) - A305571(n). CROSSREFS Cf. A266177, A305568, A305571. Sequence in context: A107511 A288471 A008410 * A289638 A289744 A287933 Adjacent sequences:  A305566 A305567 A305568 * A305570 A305571 A305572 KEYWORD nonn,more AUTHOR Eduard I. Vatutin, Jun 05 2018 EXTENSIONS a(9) added by Eduard I. Vatutin, Dec 22 2020 STATUS approved

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Last modified January 17 07:15 EST 2021. Contains 340214 sequences. (Running on oeis4.)