A346595 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".

1, 2, 5, 4, 12, 40, 51, 31, 9, 144, 564, 904, 769, 376, 106, 16, 2880, 12576, 23300, 24080, 15345, 6273, 1650, 270, 25, 86400, 408960, 840216, 991276, 748530, 381065, 133848, 32523, 5370, 575, 36, 3628800, 18299520, 40691952, 52965360, 45165064, 26726896, 11323991, 3487055, 782187, 126483, 14357, 1085, 49

Offset: 1

Author

N. J. A. Sloane, Jul 25 2021

Keywords

• nonn
• tabf

Comments

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.

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

Examples

			As a triangle, this is:
1,
2, 5, 4,
12, 40, 51, 31, 9,
144, 564, 904, 769, 376, 106, 16,
2880, 12576, 23300, 24080, 15345, 6273, 1650, 270, 25,
86400, 408960, 840216, 991276, 748530, 381065, 133848, 32523, 5370, 575, 36,
...
		

References

• 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.

Crossrefs

Cf. A010790, A125714, A212523, A346004, A346005, A346006, A346007.

Extensions

More terms from Jinyuan Wang, Aug 06 2021