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

1,2

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

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.

Links

Table of n, a(n) for n=1..49.

Example

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,
...

Crossrefs

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

Sequence in context: A338108 A291650 A285292 * A126356 A121274 A256464

Adjacent sequences: A346592 A346593 A346594 * A346596 A346597 A346598

Keyword

nonn,tabf

Author

N. J. A. Sloane, Jul 25 2021

Extensions

More terms from Jinyuan Wang, Aug 06 2021

Status

approved