|
|
A160130
|
|
2 x 2 inner (dot) products taken on corresponding digits in Pi and e.
|
|
0
|
|
|
13, 11, 12, 18, 82, 74, 50, 58, 34, 44, 60, 121, 81, 36, 51, 19, 13, 49, 52, 48, 36, 12, 44, 53, 33, 68, 59, 9, 41, 53, 48, 30, 4, 36, 104, 100, 35, 52, 94, 51, 26, 87, 63, 81, 108, 45, 81, 108, 54, 9, 45, 85, 54, 14, 81, 123, 66, 105, 105, 52, 58, 48, 32
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Let pi(n) denote the n-th digit of Pi, and let e(n) denote the n-th digit of e. Define a(n) = pi(n)*e(n) + pi(n+1)*e(n+1).
|
|
LINKS
|
|
|
EXAMPLE
|
The first two digits of Pi are 3 and 1; the first two digits of e are 2 and 7. Then a(1) = 3*2 + 1*7 = 13.
The second and third digits of Pi are 1 and 4; the corresponding digits in e are 7 and 1; so a(2) = 1*7 + 4*1 = 11.
|
|
MATHEMATICA
|
nn=80; #[[1]]*#[[2]]+#[[3]]*#[[4]]&/@Partition[Riffle[RealDigits[ Pi, 10, nn][[1]], RealDigits[E, 10, nn][[1]]], 4, 2] (* Harvey P. Dale, Jun 13 2011 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base,less
|
|
AUTHOR
|
Don Love (moptop35(AT)hotmail.com), May 02 2009
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|