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27, 3375, 42875, 250047, 970299, 2924207, 7414875, 16581375, 33698267, 63521199, 112678587, 190109375, 307546875, 480048687, 726572699, 1070599167, 1540798875, 2171747375, 3004685307, 4088324799, 5479701947, 7245075375
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| Konrad Knopp, Theory and application of infinite series, Dover, p. 269
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LINKS
| Konrad Knopp, Theorie und Anwendung der unendlichen Reihen, Berlin, J. Springer, 1922. (Original german edition of "Theory and Application of Infinite Series")
Harvey P. Dale, Table of n, a(n) for n = 1..1000
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FORMULA
| sum(n=1, inf, 1/a(n))=(32-3Pi^3)/64
a(1)=27, a(2)=3375, a(3)=42875, a(4)=250047, a(5)=970299, a(6)=2924207, a(7)=7414875, a(n)=7*a(n-1)-21*a(n-2)+35*a(n-3)-35*a(n-4)+ 21*a(n-5)- 7*a(n-6)+a(n-7) [From Harvey P. Dale, Jan 20 2012]
(x^6-34*x^5-3165*x^4-19852*x^3-19817*x^2-3186*x-27)/(x-1)^7 [From Harvey P. Dale, Jan 20 2012]
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MATHEMATICA
| (4Range[30]^2-1)^3 (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {27, 3375, 42875, 250047, 970299, 2924207, 7414875}, 30] (* From Harvey P. Dale, Jan 20 2012 *)
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CROSSREFS
| Sequence in context: A132645 A178631 A017559 * A128507 A166750 A195374
Adjacent sequences: A069073 A069074 A069075 * A069077 A069078 A069079
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KEYWORD
| easy,nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 05 2002
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