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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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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| 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
| GDZ, Digitized volumes of Crelle
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FORMULA
| See Maple code for formula.
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EXAMPLE
| 1+10*x^24+65*x^48+330*x^72+1430*x^96+5510*x^120+19395*x^144+...
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MAPLE
| 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
| Cf. A160459.
Sequence in context: A058920 A059598 A133715 * A023009 A169797 A073381
Adjacent sequences: A160455 A160456 A160457 * A160459 A160460 A160461
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Nov 13 2009
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