|
Search: id:A075351
|
|
|
| A075351 |
|
Floor(1/1),floor(2*3/(2+3)),floor(4*5*6/(4+5+6)), floor(7*8*9*10/(7+8+9+10)), ... |
|
+0
2
|
|
| 1, 1, 8, 148, 5544, 351982, 34100352, 4692680418, 871465795200, 210173265448681, 63895600819814400, 23912071579876921820, 10804489706894562201600, 5800208625625936700452385
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
COMMENT
|
Consider the harmonic progression 1,1/2,1/3,1/4,1/5,...; then a(n) = Floor[reciprocal of the sum of next n terms of this hormonic progression].
|
|
EXAMPLE
|
a(4)=floor(7*8*9*10/(7+8+9+10))=floor(5040/34)=148.
|
|
MAPLE
|
a:=n->floor((n*(n+1)/2)!/(n*(n-1)/2)!/(n*(n^2+1)/2)): seq(a(n), n=1..16); (Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 04 2005)
|
|
PROGRAM
|
(PARI) k=1:for(n=0, 20, p=1:s=0:for(i=k, k+n, s=s+i:p=p*i):k=k+n+1:print1(floor(p/s)", "))
|
|
CROSSREFS
|
Cf. A075350.
Sequence in context: A123812 A064331 A116876 this_sequence A003491 A053606 A123770
Adjacent sequences: A075348 A075349 A075350 this_sequence A075352 A075353 A075354
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 19 2002
|
|
EXTENSIONS
|
More terms from Ralf Stephan (ralf(AT)ark.in-berlin.de), Mar 31 2003
|
|
|
Search completed in 0.002 seconds
|
