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A208897
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A diagonal of rectangular table A208896: a(n) = A208896(n+1,n).
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2
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1, 1, 1, 3, 19, 201, 3106, 64522, 1704795, 55095601, 2115975655, 94466053541, 4818194778101, 276874057979927, 17721751093252740, 1251476983229057488, 96724943665929684251, 8125833302851782601185, 737619034028749204655009, 71975174880203583395021875
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OFFSET
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0,4
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COMMENTS
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The g.f. of row n, R(n,x), in the rectangular table A208896 satisfies:
(1) R(n,x) = 1 + x*R(n,x)^n * [d/dx x/R(n,x)] for n>=0.
(2) [x^k] R(n,x)^(k-n+1) = [x^k] R(n,x)^(k-n) for k>=2.
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LINKS
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PROG
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(PARI) {a(n)=local(ROW=1+x+x*O(x^n)); for(i=0, n, ROW=1+x*ROW^(n+1)*deriv(x/ROW)); polcoeff(ROW, n)}
for(n=0, 21, print1(a(n), ", "))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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