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A122575 G.f.: x*(x-1)/(x^2+14*x+1)^3. +0
1
0, -1, 43, -1215, 28445, -597638, 11700450, -217941042, 3911918070, -68234265135, 1163342929477, -19468544310649, 320806889772075, -5217751119317660, 83921044722457460, -1336777733583083700, 21114347188610320476, -331025419358450069613, 5155517342468313436815, -79820563217794780940035 (list; graph; listen)
OFFSET

1,3

COMMENT

Based on the cubic elliptic invariant j(x)=((x^8 + 14*x^4 + 1)^3)^3/(108*x^4*(x^4 - 1)).

REFERENCES

Harry Hochstadt, The Functions of Mathematical Physics, Wiley, New York (1971), p. 170; also Dover, New York (1986),129-130

MATHEMATICA

p[x_] := x^4*(x^4 - 1)/(x^8 + 14*x^4 + 1)^3 Table[ SeriesCoefficient[Series[p[x], {x, 0, 120}], n], {n, 0, 120, 4}]

CROSSREFS

Sequence in context: A157722 A010959 A010995 this_sequence A014938 A022220 A009987

Adjacent sequences: A122572 A122573 A122574 this_sequence A122576 A122577 A122578

KEYWORD

sign

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 17 2006

EXTENSIONS

Edited and extended by N. J. A. Sloane, Jun 27 2009

page 1

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.


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