login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A228129 a(n) = number of semistandard Young tableau families, headed by a father SSYT, containing daughter SSYT of shape equal to once-trimmed father's shape, so that union of families equals all SSYT with sum of entries n. 1
1, 1, 2, 3, 5, 9, 13, 22, 34, 53, 80, 125, 184, 279, 413, 610, 891, 1306, 1883, 2724, 3902, 5576, 7919, 11227, 15808, 22222, 31085, 43361, 60242, 83493, 115261, 158750, 217925, 298408, 407430, 554986 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Row sums of A228128.

LINKS

Table of n, a(n) for n=1..36.

N. Dragon, R. Stanley, Semi-Standard Young Diagrams and families;

MATHEMATICA

(* hooklength: see A228125 *);

Tr/@Table[Tr[(SeriesCoefficient[q^(#1 . Range[Length[#1]])/Times @@ (1-q^#1 &) /@ Flatten[hooklength[#1]], {q, 0, w}]& ) /@ Partitions[n]], {w, 24}, {n, w}]

CROSSREFS

Cf. A228128, A228125.

Sequence in context: A060482 A018138 A336631 * A175125 A171925 A186946

Adjacent sequences: A228126 A228127 A228128 * A228130 A228131 A228132

KEYWORD

nonn

AUTHOR

Wouter Meeussen, Aug 11 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 6 03:23 EST 2022. Contains 358594 sequences. (Running on oeis4.)