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A306372 Number of n X n integer matrices (m_{i,j}) such that m_{1,1}=1, m_{n,n}=n, and all rows and columns are (weakly) monotonic without jumps larger than 1. 1
1, 4, 44, 1236, 84910, 14024408, 5530983756, 5192169001644, 11583105980431652, 61353264333274642456, 771168645274178148758934, 22993716372161876140519972488, 1625987621134180524757435478838056, 272649922373702777601949547955204462396, 108399145705124270227889424469312592196654704 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..15.

FORMULA

a(n) = A323849(n,n-1).

CROSSREFS

Cf. A323849.

Sequence in context: A136552 A155556 A188456 * A217473 A127635 A134174

Adjacent sequences:  A306369 A306370 A306371 * A306373 A306374 A306375

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Feb 11 2019

STATUS

approved

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Last modified October 21 15:17 EDT 2021. Contains 348155 sequences. (Running on oeis4.)