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 A019528 Poincare series for depths of roots in a certain root system. 0
 5, 5, 6, 8, 11, 16, 25, 38, 59, 93, 148, 235, 376, 602, 966, 1550, 2491, 4003, 6436, 10348, 16643, 26766, 43052, 69247, 111387, 179169, 288207, 463601, 745744, 1199593, 1929661, 3104041, 4993156, 8031978, 12920238, 20783483, 33432314, 53779215 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES Posting to sci.math.research by dima(AT)win.tue.nl (Dmitrii V. Pasechnik), Oct 28 1996. LINKS Index to sequences with linear recurrences with constant coefficients, signature (0,1,2,2,0,-1,-2,-1,-1). FORMULA a(n+1)=sum_{i=n-11}^n v(i)*a(i), for v=[ 0, 0, -1, -1, -2, -1, 0, 2, 2, 1, 0 ]. G.f.: x*(x^10+3*x^9+x^8-x^7-9*x^6-14*x^5-15*x^4-7*x^3+x^2+5*x+5) / (x^9+x^8+2*x^7+x^6-2*x^4-2*x^3-x^2+1). [Colin Barker, Nov 28 2012] CROSSREFS Sequence in context: A111423 A153444 A175476 * A191695 A008945 A008705 Adjacent sequences:  A019525 A019526 A019527 * A019529 A019530 A019531 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified May 18 21:01 EDT 2013. Contains 225428 sequences.