|
Search: id:A108754
|
|
|
| A108754 |
|
Difference between partial sum of the first n primes and n^2. |
|
+0
1
|
|
| 1, 1, 1, 1, 3, 5, 9, 13, 19, 29, 39, 53, 69, 85, 103, 125, 151, 177, 207, 239, 271, 307, 345, 387, 435, 485, 535, 587, 639, 693, 759, 827, 899, 971, 1051, 1131, 1215, 1303, 1393, 1487, 1585, 1683, 1789, 1895, 2003, 2111, 2229, 2357, 2487, 2617, 2749, 2885, 3021
(list; graph; listen)
|
|
|
OFFSET
|
1,5
|
|
|
COMMENT
|
Also difference between partial sum of the first n primes and the sum of the first n odd numbers. - Cino Hilliard (hillcino368(AT)hotmail.com), Dec 02 2007
|
|
EXAMPLE
|
a(5)=A007504(5)-A000290(5)=28-(5^2)=3
|
|
MATHEMATICA
|
Table[ Sum[ Prime[i], {i, n}] - n^2, {n, 53}] (from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 25 2005)
|
|
PROGRAM
|
(PARI) g(n) = for(x=1, n, y=sum(j=1, x, 2*j-1); z=sum(j=1, x, prime(j)); print1(z-y", ")) - Cino Hilliard (hillcino368(AT)hotmail.com), Dec 02 2007
|
|
CROSSREFS
|
Cf. A007504, A000290.
Sequence in context: A080827 A102378 A118026 this_sequence A033499 A106607 A007042
Adjacent sequences: A108751 A108752 A108753 this_sequence A108755 A108756 A108757
|
|
KEYWORD
|
base,easy,nonn
|
|
AUTHOR
|
Alexandre Wajnberg (alexandre.wajnberg(AT)ulb.ac.be), Jun 23 2005
|
|
EXTENSIONS
|
Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 25 2005
|
|
|
Search completed in 0.005 seconds
|
