

A106738


Difference between the sums of oddindexed primes and evenindexed primes up to and including index 10^n.


1




OFFSET

1,1


LINKS

Table of n, a(n) for n=1..8.


FORMULA

Sum1 = prime(1) + prime(3) + ... + prime(k), k=1, 3, 5, ..., 10^n1.
a(n) = Sum_{i=1..10^n} (1)^i*A000040(i).  R. J. Mathar, Feb 13 2008


MAPLE

A106738 := proc(n) local a, i ; a :=0 ; for i from 1 to 10^n do a := a+(1)^i*ithprime(i) ; od: RETURN(a) ; end: for n from 1 do print(A106738(n)) ; od: # R. J. Mathar, Feb 13 2008


MATHEMATICA

a[n_] := Module[{a = 0}, For[i = 1, i <= 10^n, i++, a = a + (1)^i*Prime[i]]; a]; Table[Print[an = a[n]]; an, {n, 1, 8}] (* JeanFrançois Alcover, Dec 17 2012, after R. J. Mathar *)


CROSSREFS

Sequence in context: A183416 A126422 A286878 * A332849 A001508 A157946
Adjacent sequences: A106735 A106736 A106737 * A106739 A106740 A106741


KEYWORD

more,nonn


AUTHOR

Cino Hilliard, May 15 2005


EXTENSIONS

Edited by R. J. Mathar, Feb 13 2008
a(7)a(8) from Donovan Johnson, Nov 30 2008


STATUS

approved



