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Search: id:A160458
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| A160458 |
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Coefficients in the expansion of C^2/B^10, in Watson's notation of page 106. |
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+0
9
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| 1, 10, 65, 330, 1430, 5510, 19395, 63440, 195250, 570570, 1594315, 4283270, 11113440, 27949580, 68340360, 162880080, 379227010, 864153940, 1930443705, 4233724000, 9127235430, 19364099520, 40470110005, 83395632580, 169581447000, 340533848010
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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Watson, G. N.; Ramanujans Vermutung ueber Zerfaellungsanzahlen. J. Reine Angew. Math. (Crelle), 179 (1938), 97-128. See the expression C^2/B^10.
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LINKS
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GDZ, Digitized volumes of Crelle
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FORMULA
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See Maple code for formula.
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EXAMPLE
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1+10*x^24+65*x^48+330*x^72+1430*x^96+5510*x^120+19395*x^144+...
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MAPLE
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read format;
M1:=1200:
fm:=mul(1-x^n, n=1..M1):
A:=x^(1/5)*subs(x=x^(24/5), fm):
B:=x*subs(x=x^24, fm):
C:=x^5*subs(x=x^120, fm):
t1:=C^2/B^10;
t2:=series(t1, x, M1);
t3:=subs(x=y^(1/24), t2);
t4:=series(t3, y, M1/24);
t5:=seriestolist(t4); # A160458
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CROSSREFS
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Cf. A160459.
Adjacent sequences: A160455 A160456 A160457 this_sequence A160459 A160460 A160461
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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), Nov 13 2009
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