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 A011553 Number of standard Young tableaux of type (n,n,n) whose (2,1) entry is odd. 2
 0, 2, 16, 182, 2400, 35310, 562848, 9540674, 169777504, 3142665968, 60099912320, 1181283863632, 23767586624960, 487947659276790, 10195163202404160, 216335108170636650, 4653803620322450880, 101343766487960918460, 2231268469684932939360, 49614581272087698764820 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES For definition see James and Kerber, Representation Theory of Symmetric Group, Addison-Wesley, 1981, p. 107. LINKS Alois P. Heinz, Table of n, a(n) for n = 1..200 Index entries for sequences related to Young tableaux. FORMULA a(n) ~ 3^(3*n+7/2) / (64*Pi*n^4). - Vaclav Kotesovec, Sep 06 2014 Conjecture D-finite with recurrence 6*(n+2)*(n+1)^2*a(n) -(n+1)*(164*n^2-179*n+51) *a(n-1) +(46*n^3-609*n^2+812*n+12) *a(n-2) +12*(3*n-4) *(2*n-5) *(3*n-5)*a(n-3)=0. - R. J. Mathar, Nov 22 2023 EXAMPLE a(2) = 2 because the standard Young tableaux of type (2,2,2) whose (2,1) entry is odd are: +---+ +---+ |1 2| |1 2| |3 5| |3 4| |4 6| |5 6| +---+ +---+ - Alois P. Heinz, Feb 28 2012 CROSSREFS Cf. A123555. Sequence in context: A371669 A363311 A052606 * A291816 A123898 A118644 Adjacent sequences: A011550 A011551 A011552 * A011554 A011555 A011556 KEYWORD nonn AUTHOR giambruno(AT)ipamat.math.unipa.it EXTENSIONS Definition corrected by Amitai Regev (amitai.regev(AT)weizmann.ac.il), Nov 15 2006 More terms and offset corrected by Alois P. Heinz, Feb 28 2012 STATUS approved

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Last modified September 11 15:28 EDT 2024. Contains 375836 sequences. (Running on oeis4.)