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 A190591 The coefficient of t^n in the power series solution of u in the equation -t+(1-t+t^2+t^3)*u-(t+t^4)*u^2+(t^3+t^5)*u^3-t^4*u^4=0. 1
 0, 1, 1, 1, 1, 2, 4, 7, 12, 23, 47, 96, 195, 402, 843, 1781, 3772, 8020, 17143, 36810, 79304, 171368, 371450, 807516, 1760145, 3845770, 8421528, 18480552, 40634154, 89507024, 197496651, 436469232, 966043263, 2141158866, 4751978668 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 REFERENCES S. Gao, H. Niederhausen, Sequences Arising From Prudent Self-Avoiding Walks, (submitted to INTEGERS: The Electronic Journal of Combinatorial Number Theory). LINKS Alois P. Heinz, Table of n, a(n) for n = 0..750 MAPLE s:= solve(-t+(1-t+t^2+t^3)*u-(t+t^4)*u^2+(t^3+t^5)*u^3-t^4*u^4, u): a:= n-> coeff(series(s, t, n+1), t, n): seq(a(n), n=0..40);  # Alois P. Heinz, Jun 03 2011 CROSSREFS Sequence in context: A226160 A018181 A141017 * A027945 A079800 A217595 Adjacent sequences:  A190588 A190589 A190590 * A190592 A190593 A190594 KEYWORD nonn AUTHOR This sequence was derived by Dr. Aaron Meyerowitz and submitted by Shanzhen Gao, May 13 2011 STATUS approved

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Last modified May 25 15:19 EDT 2019. Contains 323570 sequences. (Running on oeis4.)