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%I #21 Aug 07 2021 08:54:55
%S 1,2,5,4,12,40,51,31,9,144,564,904,769,376,106,16,2880,12576,23300,
%T 24080,15345,6273,1650,270,25,86400,408960,840216,991276,748530,
%U 381065,133848,32523,5370,575,36,3628800,18299520,40691952,52965360,45165064,26726896,11323991,3487055,782187,126483,14357,1085,49
%N Successive numbers arising from the Moessner construction of the sequence A010790 (n!*(n+1)!) on pages 64, 65 of Conway-Guy's "Book of Numbers".
%C The circled numbers 5, 31, 106, 270, 575, 1085, ... in the second row of the display at the foot of page 64 are (essentially) A212523.
%C This sequence can also be represented as a triangle of numbers where the rows have lengths 1, 3, 5, 7, ... - _Jinyuan Wang_, Aug 06 2021
%D J. H. Conway and R. K. Guy, The Book of Numbers, Copernicus Press, NY, 1996. Sequence can be obtained by reading the successive circled numbers in the tableau at the foot of page 64.
%e As a triangle, this is:
%e 1,
%e 2, 5, 4,
%e 12, 40, 51, 31, 9,
%e 144, 564, 904, 769, 376, 106, 16,
%e 2880, 12576, 23300, 24080, 15345, 6273, 1650, 270, 25,
%e 86400, 408960, 840216, 991276, 748530, 381065, 133848, 32523, 5370, 575, 36,
%e ...
%Y Cf. A010790, A125714, A212523, A346004, A346005, A346006, A346007.
%K nonn,tabf
%O 1,2
%A _N. J. A. Sloane_, Jul 25 2021
%E More terms from _Jinyuan Wang_, Aug 06 2021
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