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Search: id:A078907
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| A078907 |
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Expansion of modular function j/256 in powers of m=k^2=lambda(t). |
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+0
2
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| 1, -1, 3, 0, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70
(list; graph; listen)
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OFFSET
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-2,3
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REFERENCES
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J. M. Borwein and P. B. Borwein, Pi and the AGM, Wiley, 1987, p. 115.
A. Erdelyi, Higher Transcendental Functions, McGraw-Hill, 1955, Vol. 3, p. 22.
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FORMULA
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G.f.: (1-x+x^2)^3/(x-x^2)^2. a(n)=n=A000027(n), n>2.
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EXAMPLE
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j/256 = 1/m^2 -1/m +3 +0m +3m^2 +3m^3 +4m^4 +...
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PROGRAM
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(PARI) a(n)=polcoeff((1-x+x^2)^3/(x-x^2)^2+x*O(x^n), n)
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CROSSREFS
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Cf. A000027, A000521.
Sequence in context: A066958 A066851 A167223 this_sequence A111815 A127753 A073367
Adjacent sequences: A078904 A078905 A078906 this_sequence A078908 A078909 A078910
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KEYWORD
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sign,easy
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AUTHOR
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Michael Somos, Dec 12 2002
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