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A019528
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Poincare series for depths of roots in a certain root system.
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0
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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
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OFFSET
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1,1
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REFERENCES
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Posting to sci.math.research by dima(AT)win.tue.nl (Dmitrii V. Pasechnik), Oct 28 1996.
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LINKS
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Table of n, a(n) for n=1..38.
Index to sequences with linear recurrences with constant coefficients, signature (0,1,2,2,0,-1,-2,-1,-1).
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FORMULA
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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]
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CROSSREFS
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Sequence in context: A111423 A153444 A175476 * A191695 A008945 A008705
Adjacent sequences: A019525 A019526 A019527 * A019529 A019530 A019531
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KEYWORD
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nonn,easy
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AUTHOR
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Robert G. Wilson v
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STATUS
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approved
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