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A133317 Dimensions of certain Lie algebra (see reference for precise definition). 1
1, 35, 405, 2695, 12740, 47628, 149940, 413820, 1029105, 2351635, 5010005, 10061415, 19211920, 35119280, 61799760, 105163632, 173707785, 279397755, 438775645, 674334815, 1016206884, 1504211500, 2190324500, 3141625500, 4443791625, 6205210011, 8561787885 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

This is the case P(5,n) of the family of sequences defined in A132458. - Ottavio D'Antona (dantona(AT)dico.unimi.it), Oct 31 2007

REFERENCES

J. M. Landsberg and L. Manivel, The sextonions and E7 1/2, Adv. Math. 201 (2006), 143-179. [Th. 7.2(i), case a=2]

LINKS

Table of n, a(n) for n=0..26.

FORMULA

Empirical g.f.: (x+1)*(x^4+24*x^3+76*x^2+24*x+1) / (x-1)^10. - Colin Barker, Jul 27 2013

MAPLE

b:=binomial; t72a:= proc(a, k) ((2*a+2*k+1)/(2*a+1)) * b(k+3*a/2-1, k)*b(k+3*a/2+1, k)*b(k+2*a, k)/(b(k+a/2-1, k)*b(k+a/2+1, k)); end; [seq(t72a(2, k), k=0..40)];

CROSSREFS

Sequence in context: A133458 A238539 A075664 * A322879 A105947 A183846

Adjacent sequences:  A133314 A133315 A133316 * A133318 A133319 A133320

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Oct 19 2007

STATUS

approved

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Last modified August 10 02:28 EDT 2020. Contains 336367 sequences. (Running on oeis4.)