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 A069078 a(n) = n*(4*n^4 + 1). 0
 0, 5, 130, 975, 4100, 12505, 31110, 67235, 131080, 236205, 400010, 644215, 995340, 1485185, 2151310, 3037515, 4194320, 5679445, 7558290, 9904415, 12800020, 16336425, 20614550, 25745395, 31850520, 39062525, 47525530, 57395655, 68841500, 82044625, 97200030, 114516635 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES Konrad Knopp, Theory and application of infinite series, Dover, p. 268 LINKS Table of n, a(n) for n=0..31. Konrad Knopp, Theorie und Anwendung der unendlichen Reihen, Berlin, J. Springer, 1922. (Original German edition of "Theory and Application of Infinite Series") FORMULA Sum_{n>=1} (-1)^(n+1)/a(n) = log(2) - 1/2 (A187832). [Corrected by Amiram Eldar, Mar 08 2022] MATHEMATICA a[n_] := n*(4*n^4 + 1); Array[a, 40, 0] (* Amiram Eldar, Mar 08 2022 *) CROSSREFS Cf. A187832. Sequence in context: A012226 A281818 A332317 * A003732 A203476 A203702 Adjacent sequences: A069075 A069076 A069077 * A069079 A069080 A069081 KEYWORD easy,nonn AUTHOR Benoit Cloitre, Apr 05 2002 STATUS approved

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Last modified February 26 11:46 EST 2024. Contains 370352 sequences. (Running on oeis4.)