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A219275 Number of standard Young tableaux for partitions of nonnegative integers into distinct parts with largest part n. 3
1, 1, 3, 25, 1069, 368168, 1299366501, 55208013380403, 32401197537296758130, 297072961835477978342245712, 47538199827835784548062928051198402, 146779873623344672821145371965795071455181183, 9581411392319396646028223743176779937161862866453789852 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..22

Wikipedia, Young tableau

EXAMPLE

a(2) = 3:

+------+  +------+  +------+

| 1  2 |  | 1  3 |  | 1  2 |

| 3 .--+  | 2 .--+  +------+

+---+     +---+

MAPLE

h:= proc(l) local n; n:=nops(l); add(i, i=l)!/mul(mul(1+l[i]-j+

      add(`if`(l[k]>=j, 1, 0), k=i+1..n), j=1..l[i]), i=1..n)

    end:

b:= (n, l)-> `if`(n<1, h(l), b(n-1, l) +b(n-1, [l[], n])):

a:= n-> `if`(n=0, 1, b(n-1, [n])):

seq(a(n), n=0..12);

CROSSREFS

Column sums of A219274.

First differences of A219273.

Sequence in context: A322063 A306792 A012764 * A101733 A309116 A094815

Adjacent sequences:  A219272 A219273 A219274 * A219276 A219277 A219278

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Nov 17 2012

STATUS

approved

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Last modified August 18 15:00 EDT 2019. Contains 326106 sequences. (Running on oeis4.)