A069079 - OEIS

A069079

a(n) = (2n+1)(2n+2)(2n+4)(2n+5).

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