|
|
A000910
|
|
a(n) = 5*binomial(n, 6).
(Formerly M3973 N1643)
|
|
7
|
|
|
0, 0, 0, 0, 0, 0, 5, 35, 140, 420, 1050, 2310, 4620, 8580, 15015, 25025, 40040, 61880, 92820, 135660, 193800, 271320, 373065, 504735, 672980, 885500, 1151150, 1480050, 1883700, 2375100, 2968875, 3681405, 4530960, 5537840, 6724520, 8115800, 9738960, 11623920, 13803405
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,7
|
|
REFERENCES
|
Charles Jordan, Calculus of Finite Differences, Budapest, 1939, p. 449.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
LINKS
|
|
|
FORMULA
|
Sum_{n>=6} 1/a(n) = 6/25.
Sum_{n>=6} (-1)^n/a(n) = 192*log(2)/5 - 661/25. (End)
|
|
MATHEMATICA
|
|
|
PROG
|
(SageMath) [5*binomial(n, 6) for n in (0..40)] # G. C. Greubel, May 22 2022
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|