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 A069079 a(n) = (2n+1)(2n+2)(2n+4)(2n+5). 0
 40, 504, 2160, 6160, 14040, 27720, 49504, 82080, 128520, 192280, 277200, 387504, 527800, 703080, 918720, 1180480, 1494504, 1867320, 2305840, 2817360, 3409560, 4090504, 4868640, 5752800, 6752200, 7876440, 9135504, 10539760, 12099960 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES Konrad Knopp, Theory and application of infinite series, Dover, p. 268 LINKS Table of n, a(n) for n=0..28. Konrad Knopp, Theorie und Anwendung der unendlichen Reihen, Berlin, J. Springer, 1922. (Original German edition of "Theory and Application of Infinite Series") Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1). FORMULA Sum_{n>=1} 1/a(n) = 1/36 Sum_{n>=1} (-1)^n/a(n) = 5/36 - log(2)/6. MATHEMATICA Table[16n^4+96n^3+196n^2+156n+40, {n, 0, 40}] CROSSREFS Sequence in context: A202902 A140045 A223162 * A093744 A109105 A269692 Adjacent sequences: A069076 A069077 A069078 * A069080 A069081 A069082 KEYWORD easy,nonn AUTHOR Benoit Cloitre, Apr 05 2002 STATUS approved

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Last modified April 23 09:48 EDT 2024. Contains 371905 sequences. (Running on oeis4.)