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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 October 2 23:51 EDT 2022. Contains 357230 sequences. (Running on oeis4.)