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 A178651 Expansion of the polynomial (1+x^3)*(1+x^11)*(1+x^15)*(1+x^19)*(1+x^23)*(1+x^27)*(1+x^35) 2
 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 3, 0, 0, 2, 2, 0, 0, 3, 2, 0, 1, 3, 2, 0, 1, 4, 1, 0, 2, 3, 1, 0, 2, 4, 1, 0, 3, 3, 0, 0, 3, 3, 0, 1, 4, 2, 0, 1, 3, 2, 0, 1, 4, 1, 0, 2, 3, 1, 0, 2, 3, 0, 0, 2, 2, 0, 0, 3, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,27 COMMENTS This is the Poincaré polynomial for the Lie group E_7. REFERENCES Borel, A. and Chevalley, C., The Betti numbers of the exceptional groups, Mem. Amer. Math. Soc. 1955, no. 14, pp 1-9. LINKS Table of n, a(n) for n=0..133. MATHEMATICA CoefficientList[Series[(1+x^3)(1+x^11)(1+x^15)(1+x^19)(1+x^23)(1+x^27)(1+x^35), {x, 0, 140}], x] (* Harvey P. Dale, Oct 12 2014 *) CROSSREFS Sequence in context: A085860 A178665 A170958 * A046810 A328515 A356682 Adjacent sequences: A178648 A178649 A178650 * A178652 A178653 A178654 KEYWORD nonn,fini,full,easy AUTHOR N. J. A. Sloane, Dec 24 2010 STATUS approved

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Last modified August 13 17:42 EDT 2024. Contains 375144 sequences. (Running on oeis4.)