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Search: id:A002832
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| 1, 3, 24, 402, 11616, 514608, 32394624, 2748340747, 302234850323, 41811782736233, 7106160247700860, 1455425211355768405, 353536811952452632485, 100492698517227163354508, 33045185740079676399950860
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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D. Dumont, Further triangles of Seidel-Arnold type and continued fractions related to Euler and Springer numbers, Adv. Appl. Math., 16 (1995), 275-296.
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LINKS
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Kwang-Wu Chen, An Interesting Lemma for Regular C-fractions, J. Integer Seqs., Vol. 6, 2003.
A. Randrianarivony and J. Zeng, Une famille des polynomes qui interpole plusieurs suites..., Adv. Appl. Math. 17 (1996), 1-26.
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FORMULA
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G.f.: Sum[n>=0, a(n)x^n] = 1/(1-1*3x/(1-1*5x/(1-2*7x/(1-2*9x/(1-3*11x/...))))).
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MAPLE
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rr := array(1..40, 1..40):rr[1, 1] := 0:for i from 1 to 39 do rr[i+1, 1] := evalf(subs(x=0, diff((exp(x)-1)/cosh(x), x$i))):od: for i from 2 to 40 do for j from 2 to i do rr[i, j] := rr[i, j-1]-rr[i-1, j-1]:od:od: seq(rr[2*i-1, i-1], i=2..20);
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CROSSREFS
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Cf. A000657.
Related polynomials in A098277.
Sequence in context: A010791 A145169 A065761 this_sequence A166736 A109055 A056207
Adjacent sequences: A002829 A002830 A002831 this_sequence A002833 A002834 A002835
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms and Maple code from Barbara Haas Margolius (margolius(AT)math.csuohio.edu) 2/16/01
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