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Search: id:A058962
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| 1, 12, 80, 448, 2304, 11264, 53248, 245760, 1114112, 4980736, 22020096, 96468992, 419430400, 1811939328, 7784628224, 33285996544, 141733920768, 601295421440, 2542620639232, 10720238370816, 45079976738816, 189115999977472, 791648371998720
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OFFSET
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0,2
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COMMENT
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Denominators in expansion of -1/2*I*Pi+I*arcsin((1+1/4*x^2)/(1-1/4*x^2)); numerators are all 1.
Bisection of A001787. That is, a(n)=A001787(2n+1) - Graeme McRae (g_m(AT)mcraefamily.com), Jul 12 2006
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REFERENCES
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G. A. Campbell, Physical theory of the electric wave-filter, Bell Syst. Tech. J., 1 (1922), 1-32, see Eq. (15d). Reprinted in M. E. Van Valkebburg, ed., Circuit Theory, Dowden, Hutchinson and Ross, 1974.
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FORMULA
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Central terms of the triangle in A118413: a(n) = A118413(2*n+1,n+1). - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Apr 27 2006
ln(3) = sum( 1 / a(n) ) for n = 1..infinity - Jaume Oliver i Lafont (jaume(AT)totmallorca.net), May 22 2007
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CROSSREFS
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Cf. A118415.
Cf. A002391.
Sequence in context: A035042 A061593 A038734 this_sequence A009500 A012195 A007010
Adjacent sequences: A058959 A058960 A058961 this_sequence A058963 A058964 A058965
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KEYWORD
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nonn
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AUTHOR
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njas, Jan 13 2001
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