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Search: id:A013525
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| A013525 |
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E.g.f.: x + (gdinv x - sinh x)/2, where gdinv = inverse-Gudermannian. Sequence has odd-indexed coefficients; others are zero. |
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+0
2
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| 1, 0, 2, 30, 692, 25260, 1351382, 99680490, 9695756072, 1202439837720, 185185594118762, 34674437196568950, 7757267081778543452, 2043536254646561946180, 626129820701814932734142, 220771946624511552276841410
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OFFSET
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0,3
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COMMENT
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Also gdinv(x) = log(tan(x)+sec(x)).
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FORMULA
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For n>0, a(n) = (1/2) * (A000364(n) - 1).
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EXAMPLE
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x + (gdinv x - sinh x)/2 = x+2/5!*x^5+30/7!*x^7+692/9!*x^9...
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CROSSREFS
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Sequence in context: A099046 A020547 A160694 this_sequence A114938 A082653 A140174
Adjacent sequences: A013522 A013523 A013524 this_sequence A013526 A013527 A013528
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KEYWORD
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nonn,easy
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AUTHOR
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Patrick Demichel (dml(AT)hpfrcu03.france.hp.com)
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EXTENSIONS
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Definition corrected by Ralf Stephan and Don Reble, Dec 16 2004
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