OFFSET
1,2
COMMENTS
First differences of A024701. - Gionata Neri, May 25 2015
LINKS
Harry J. Smith, Table of n, a(n) for n=1..1000
FORMULA
a(n) = (prime(n+1)+prime(n))*(prime(n+1)-prime(n))/4 = (prime(n+1)^2-prime(n)^2)/4.
EXAMPLE
a(4) = 18 = 8+10 as the even numbers between 7 and 11 are 8 and 10. a(4) = (11+7)(11-7)/4 = 18.
MATHEMATICA
Total[Select[Range[#[[1]]+1, #[[2]]-1], EvenQ]]&/@ Partition[ Prime[ Range[ 60]], 2, 1] (* Harvey P. Dale, May 28 2013 *)
PROG
(PARI) { for (n=1, 1000, a=(prime(n + 1)^2 - prime(n)^2)/4; if (n==1, a=0); write("b062046.txt", n, " ", a) ) } \\ Harry J. Smith, Jul 30 2009
CROSSREFS
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Jun 06 2001
EXTENSIONS
More terms from Larry Reeves (larryr(AT)acm.org), Jun 07 2001
Offset changed from 0 to 1 by Harry J. Smith, Jul 30 2009
STATUS
approved