|
|
A010970
|
|
a(n) = binomial(n,17).
|
|
7
|
|
|
1, 18, 171, 1140, 5985, 26334, 100947, 346104, 1081575, 3124550, 8436285, 21474180, 51895935, 119759850, 265182525, 565722720, 1166803110, 2333606220, 4537567650, 8597496600, 15905368710, 28781143380, 51021117810, 88732378800, 151584480450, 254661927156
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
17,2
|
|
COMMENTS
|
|
|
LINKS
|
Index entries for linear recurrences with constant coefficients, signature (18, -153, 816, -3060, 8568, -18564, 31824, -43758, 48620, -43758, 31824, -18564, 8568, -3060, 816, -153, 18, -1).
|
|
FORMULA
|
a(n+16) = n*(n+1)*(n+2)*(n+3)*(n+4)*(n+5)*(n+6)*(n+7)*(n+8)*(n+9)*(n+10)*(n+11)*(n+12)*(n+13)*(n+14)*(n+15)*(n+16)/17!. - Artur Jasinski, Dec 02 2007; R. J. Mathar, Jul 07 2009
Sum_{n>=17} 1/a(n) = 17/16.
Sum_{n>=17} (-1)^(n+1)/a(n) = A001787(17)*log(2) - A242091(17)/16! = 1114112*log(2) - 556570716997/720720 = 0.9495520222... (End)
|
|
MAPLE
|
|
|
MATHEMATICA
|
|
|
PROG
|
(PARI) for(n=17, 50, print1(binomial(n, 17), ", ")) \\ G. C. Greubel, Nov 23 2017
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|