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A208624 Number of Young tableaux with n 4-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing). 2
1, 1, 15, 491, 25187, 1725819, 144558247, 14029729645, 1523926182363, 180929760551225, 23086562828397479, 3126799551978895629, 445266632168280620515, 66178991463387525289801, 10206120232877820185701707, 1625518539321873371313790283 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Also the number of (4*n-1)-step walks on 4-dimensional cubic lattice from (1,0,0,0) to (n,n,n,n) with positive unit steps in all dimensions such that for each point (p_1,p_2,p_3,p_4) we have p_1<=p_2<=p_3<=p_4 or p_1>=p_2>=p_3>=p_4.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..100

FORMULA

a(n) ~ c * 256^n / n^(15/2), where c = 1.536590923866647845196812662963243246... . - Vaclav Kotesovec, Sep 03 2014

CROSSREFS

Column k=4 of A208615.

Sequence in context: A218803 A252929 A218198 * A013433 A013435 A151816

Adjacent sequences:  A208621 A208622 A208623 * A208625 A208626 A208627

KEYWORD

nonn,walk

AUTHOR

Alois P. Heinz, Feb 29 2012

STATUS

approved

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Last modified September 18 00:01 EDT 2021. Contains 347489 sequences. (Running on oeis4.)